PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND
Find F^-1(x), the inverse of F(x).
f(x)-9x^3-4
Show your work please because I don’t understand.
Answers
9514 1404 393
Answer:
[tex]f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}[/tex]
Step-by-step explanation:
For function ...
[tex]y=f(x)[/tex]
sometimes we know y, but we want to find the corresponding value x. That is, we would like to have an inverse function:
[tex]x=f^{-1}(y)[/tex]
Here, I have said the input to the inverse function is the value of y for which we want the corresponding value of x.
__
Normally, we write the inverse function basically the same way we write the function. The input is named x, and the output is named y. We can swap the variable names for input and output either before or after we find the equation that relates them.
Perhaps you can see that finding the inverse function
[tex]x=f^{-1}(y)[/tex]
amounts to solving the function relation y = f(x) for x. If we interchange variables first, it is the same as solving x = f(y) for y.
__
To find the inverse, we can interchange the variables and solve for y.
[tex]x=f(y)=9y^3-4\\\\x+4=9y^3\qquad\text{add 4}\\\\\dfrac{x+4}{9}=y^3\qquad\text{divide by 9}\\\\\dfrac{3x+12}{27}=y^3\qquad\text{make the denominator a cube; multiply by 3}\\\\y=\dfrac{\sqrt[3]{3x+12}}{3}\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}}[/tex]
_____
The graph of the inverse of a function is the reflection of the graph of the function across the line y=x. The given function and the inverse we found are graphed in the attachment. The dashed line is y=x.
Related Questions
WILL MARK BRAINLIEST IF THAT MATTERS
Let’s take our function from before: f(x) = x + 2. Plug in some values for x. f(2) = 4. f(3) = 5. f(4) = 6.
Now we have a set of inputs and outputs for this function. You can write them as a set of ordered pairs, like this: (2, 4), (3, 5), (4, 6).
Like all sets of ordered pairs, these points can be plotted on a graph. If you plot
f(x) = x + 2 and connect the points, you will see that the graph is a straight line. This means that f(x) = x + 2 is a linear function.
Which of these is a set of inputs and outputs for the function f(x) = 2x + 4?
A
(1, 2), (2, 5), (3, 8)
B
(1, 4), (2, 6), (3, 7)
C
(1, 5), (1, 8), (1, 10)
D
(1, 6), (2, 8), (3, 10)
Answers
Answer:
D
Step-by-step explanation:
Plug them in
Input is the x value, or x, and Output is the y value, or f(x)
You can figure it out with only the first set of coordinates
Ima flip the equation around: 2x + 4 = f(x)
so, substitute x for the x coordinate: 2(1) +4 =f(x) = 2 + 4 = f(x) = 6
the correct y value when x is equal to 1 is 6, and only D satisfies this rule.
Hope this helped! :)
Answer:
d
Step-by-step explanation:
Whoever answers right gets a Brainly
Answers
Answer: (0,-4)
ur welcome pls brainlist
Answer:−2x+2y=8
The slope-intercept form is y=m+b, where m is the slope and b is the yintercept.y=mx+b
Rewrite in slope-intercept form.
Tap for more steps...y=x+4
Step-by-step explanation:
What three consecutive negative integers have a sum of -66?
Answers
Answer:
-21+-22+-23=-66
-21,-22,-23
need help asap! will give extra points...
Answers
Explanation: How I know is, a=4-2 is the missing length of the side of the length? Huh. What you must be asking well, a+?=? A=4 + C= a= 4-2
what is the slope of a line that passes through points (6,-5) and (6,-8)
Answers
depending on your options for answers, you could put:
slope=infinite
or
slope=undefined
A hardware store sold 630 lawn mowers in one year. If 441 lawn mowers were purchased in the spring, what is the ratio of the number of lawn mowers purchased in the spring to the number purchased during the entire year?
Answers
Answer:
[tex]Ratio = 0.7[/tex]
Step-by-step explanation:
Given
[tex]Total = 630[/tex]
[tex]Spring = 441[/tex]
Required
Determine the ratio of lawns in spring to total
[tex]Ratio = Spring:Total[/tex]
[tex]Ratio = 441 : 630[/tex]
Convert to fraction
[tex]Ratio = \frac{441}{630}[/tex]
[tex]Ratio = 0.7[/tex]
Hence, the ratio of lawns sold in spring to the total is 0.7
Answer:
No, the real answer is 7:10
Step-by-step explanation:
441:630 when simlified the answer is 7:10
"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answers
ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Because your triangle has more than two angles that are congruent, and more than one side that are congruent, it more than fits the theorms.
Hope this helps.
Last year you spent 210 on school clothes. You spent 37.5% of this amount on shirts. How much did you spend on shirts?
Answers
Answer:
$78.75
Step-by-step explanation:
(sorry if wrong)
answer thiss pls geometry question
Answers
Answer:
ITS B
Step-by-step explanation:
Find the equation of the parabola with its focus at (0,-4) and its directrix y = 4.
OA) y= -1/16x²
O B) y = -1/gt²
O C) y = -1/4x²
OD) y = 1/26x²
Answers
Answer:
A. y = -1/16 x²
Step-by-step explanation:
Given the focus of a parabola at (0, -4) and the directrix at y = 4
Let (x0, y0) be any point on the parabola.
First get the distance from this point (x0, y0) to the point (0, -4)
The formula for calculating the distance between two points is expressed as;
d1 = √(x1-x2)²+(y1-y2)²
d1 = √(x0-0)²+(y0+4)²
d1 = √x0²+(y0+4)²
Also find the distance between the point (x0, y0)and the directrix y = 4
The distance d2 = |y0-4|
Equate both distances
d1 = d2
√x0²+(y0+4)² = y0-4
Square both sides
(√x0²+(y0+4)²)² = (y0-4)²
x0²+(y0+4)² = (y0-4)²
Simplify by opening the brackets
x0²+y0²+8y0+16 = y0²-8y0+16
Collect the like terms
x0²+y0²+8y0+16 - y0²+8y0-16 = 0
x0²+8y0+8y0 = 0
x0²+16y0 = 0
16y0 = -x0²
y0 = -x0²/16
Since the point (x0, y0) is also true for any values of the coordinate then we can replace x0 with x and y0 with y to have:
y = -x²/16
y = -1/16 x²
Hence option A is a correct
Answer:
A. y = -1/16 x²
Step-by-step explanation:
30 POINTS
Javier wants to go to the movies. He has some money saved but does not want to use all his savings on a movie ticket. Javier’s mother offers to pay some of the cost of the ticket for every pound of potatoes he peels for her.
The graph shows the cost to Javier for the purchase of the movie ticket after peeling x pounds of potatoes for his mother.
Answers
Answer:
True
False
True
True
False
Graph: The graph is show the cost to Javier for the purchase of the movie ticket after peeling x pounds of potatoes for his mother.
From the given graph, it is shown that,
On x - axis represent the pounds and y - axis represent the cost.
On y- axis graph intersect at y= 6 and on x- axis graph intersect at x= 8.
Now from the graph, it is observe that,
(1)The movie ticket is $6. So, it is true.
(2) Javier earn up to $8 peeling potatoes for his mother. Hence it is false.
(3)Javier's mother pays him $0.75 for each pound of potatoes he peels. Thus, it is true statement.
(4)Javier dose not use any of his own money towards the purchase of the tickets when he peels 8lb of potatoes. Hence it is true statement.
(5)Javier only need to peel 2 lbs of potatoes to not use any of his own money. Hence it is false statement.
For more details, please prefer this link:
https://brainly.com/question/11557377
For the past 25 days, Jonathon has read n minutes each day. His total number of minutes read is 875. Which equation expresses the number of minutes Jonathon read each day?
Answers
Answer:
35 minutes a day
Step-by-step explanation:
Hi can anyone answer this right ill give brainliest
Answers
Answer:
The last one
Step-by-step explanation:
You start off with 50.
It says the water is being drained so the slope is negative.
Helen gathered data on the fuel efficiency of compact sedans. Her sample contains 80 data points, and the standard error of the mean is approximately 0.595. What is the standard deviation? Round your answer to the nearest hundredth.
Answers
Answer:
5.32
Step-by-step explanation:
It took me a while to figure this out myself, here is how I found the answer:
The question gives sample number(80) and the standard error(0.595).
To get the standard error number they use this equation:
[tex]\frac{standard-deviation}{\sqrt{sample-population} }[/tex]
So to find the standard deviation, take [tex]\sqrt{sample-population}[/tex] and times it by the standard error to get the answer.
[tex]\sqrt{80}[/tex] x 0.595 = 5.321841786449499
And then round to the nearest hundredth: 5.32
Answer:
- 5.32
(got it right on edmentum)
please look at the picture below so you are assured that this is the right answer↓Step-by-step explanation:
i need help with geometry
Answers
The biology club has 14 members ,10 girls and 4 boys. what is the ratio of girls to boy in the biology club?
A. 2:1
B. 2:5
C . 5:2
Answers
What can you half and then add 9 to get 15?
Answers
Answer:
12
Step-by-step explanation:
12-6=6
6+9=15
15-9=6
how many solutions does the following equation have? -3z + 9 -2z = -12 - 5z
Answers
Fast food chain surveyed a random sample of students to determine what pizza they prefer cheese pizza was referred by 840 students pepperoni pizza was preferred by 28 students based on the results how many of the 340 students can be expected to prefer cheese pizza
Answers
Answer: 200 students
Step-by-step explanation:
Here is the complete question:
Fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preffered by 40 students pepperoni pizza was preferred by 28 students. Based on the results how many of the 340 students can be expected to be for cheese
Number of studensts that prefered Cheese pizza = 40
Number of students that prefered pepperoni pizza = 28
Total number of students = 68
Fraction for those that prefer cheese = 40/68 = 10/17
We then multiply the fraction gotten by 340. This will be:
= 10/17 × 340
= 10 × 20
= 200 students
3x2 - 4x = -2???????????????????
Answers
Answer:
3×2 - 4x=-2
6-4x=-2
2x=-2
x=-2/2
x=-1
Answer:
3×2 - 4x=-2
6-4x=-2
2x=-2
x=-2/2
x=-1
Help anyone what’s the answer
Answers
Answer:
7.5
Step-by-step explanation:
You divide 1.5/0.2 and get 7.5
yw xd
7) what is the slope and
Gintercept of the line with
man (Direct Message)
to rent a car
c) slope:-3, y-intercept. -5
a) Slope: -3 g * +-3?
y-intercept:
ģ-intercept: -3
2=a 3=d
4= 5=d 6=a
5
6) Slepen
d) Slope 5,y intercept:-3
Answers
Answer:
is questions no 6 is the correct answer
What is the significance of Verrazzano’s 1524 exploration?
Answers
Answer:
In his account of his 1524 voyage to the North American continent, and exploration of the coast from Florida to Newfoundland, Verrazzano recorded details unknown to European mapmakers. His discoveries shaped the construction and look of maps that would be used by explorers who came after him.
Step-by-step explanation:
I just went on g0091# and looked up Nicki Minaj million dollar ##### I went to g0091# images to get a pic from the vid and a woman’s legs open and her area was showing the song is called tap out not million dollar
Answers
Answer:ok
Step-by-step explanation:
Answer:
Dam, that’s tuff. I love Nikki Minaj!!!
Step-by-step explanation:
Write an equationthen solve.
You earn $5 per hour babysitting last year. This is $3.25 less than what you earned per hour
thid year. How
much do you earn per hour this year?
Answers
x= hours y= total ($)
y=(5+3.25)x
Of the 78 teenagers of the youth camp and 63% have birthdays in spring about how many teenagers have birthdays in spring
Answers
Answer about 49.
Step-by-step explanation:
Step 1. To model the situation in mathematical terms, express
63
%
as a fraction.
63
%
⇒
0.63
⇒
63
100
Step 2. To find
63
%
of the
78
teenagers, multiply
78
by
63
100
.
78
×
63
100
Step 3. Solve.
=
78
39
×
63
100
50
=
39
×
63
50
=
49.14
≈
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
49
i
teenagers
a
a
∣
∣
−−−−−−−−−−−−−−−
about 49%
We can convert 63% directly to a decimal:
63% = 0.63
Then, doing the calculation by hand or with a calculator, we find
63% of 78 = 0.63 x 78 = 49.14
So the final answer is
63% of 78=49.14
You can round the decimal, if you're looking for a whole number, to about 49%.
PLEASE HELP SEE PICTURE!!!!!
Answers
Which equation shows that 5 is a factor of 45?
Choose 1 answer:
A: 45 = 5x9
B: 45 = 225 ÷ 5
C: 45 = 5 + 40
D: 45 = 50 - 5
Answers
From the list of available options, the equation that shows that 5 is a factor of 45 is (a) 45 = 5 * 9
What are factors?The factors of a number are the set of numbers (less than the actual number) that can divide the original number without leaving a remainder
How to determine the equation that shows that 5 is a factor of 45?As stated above, factors can divide the original number
The numbers are given as:
45 and 5
Such that 5 is a factor.
This means that
45 = 5 * x
Where x is another factor of 45
Divide both sides of the equation 45 = 5 * x by 5
x = 9
Substitute 9 for x in the equation 45 = 5 * x
45 = 5 * 9
Hence, the equation from the list of given options that shows that 5 is a factor of 45 is (a) 45 = 5 * 9
Read more about factors and multiples at:
https://brainly.com/question/219464
#SPJ1
Answer:
45=5 x 9
Step-by-step explanation:
its the right answer if youre too lazy to read the other answer lol
I need help with this asap
Answers
F(x)=X-11
F(-3)= -3-11
F(-3)=-14
F(x)=X-11
F(-2)=-2-11
f(-2)=-13
F(x)=X-11
F(4)= 4-11
f(4)=-7
F(x)=-7x+1
F(-3)=-7(-3)+1
F(-3)=-21+1
F(-3)=22,
F(x)=-7x+1
F(-2)=-7(-2)+1
F(-2)= 14+1
f(-2)=15,
F(x)=-7x+1
F(4)=-7(4)+1
f(4)=-28+1 =-27
F(x)=X+8
F(-3)=5, f(-2)= 6 , f(4)=12
When you subtract an number from both sides of an inequality, do you flip or change the direction of the inequality?
Answers
Answer:
you only have to flip the inequality if you you are divide or multiplying by a negative
