Answers
[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]
Step-by-step explanation:A function is given to us , and we need to find its inverse. So the function is ,
[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]
So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,
[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]
Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.
Hence the inverse f -¹(x) of the given function is x² + 2x - 4 .
Related Questions
The distance covered by three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours?
Cody= in 1/4 hour he can run 2 miles
YIn=1 1/2 hour he can run 11 1/4 miles
RUdy= 1 1/2 hour can run 12miles
Answers
Answer:
16 is the answer
Step-by-16step explanation:
The required distance run by the rudy in 2 hours is 16 miles.
Given that,
The distance covered by the three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of the Rudy running = 12 / [ 3 / 2] = 8 miles per hour
Now,
For time 2 hour the distance run by Rudy = 8 × 2 = 16 miles.
Thus, the required distance run by the rudy in 2 hours is 16 miles.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Write an expression for the sequence of operations described below.subtract 4 from the sum of 2 and y
Answers
Answer:
( 2 + y ) - 4
PLS HELP NEED ANSWER ASAP PLSSSS
Eva left her home and drove for 4.3 hours due north at a rate of 60 miles per hour. After visiting a beach, she drove due south for 3.4 hours at 55 miles per hour.
How many miles is Eva from her home?
Answers
Answer:
166
Step-by-step explanation:
Which of the following is the best estimate for the weight of a pick-up truck?
5 T
5 gal
5 lb
5 mi
Answers
Answer:
5 T
Step-by-step explanation:
It is the only one remotely close to the weight of a pick-up truck.
how to solve proportions
Answers
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."what is 10 +20-9+2+8-3
first to answer will get brainlyest
Answers
After the 4th half life how much of the sample is left if the mass is 100g.
Answers
Answer:
[tex]\huge\boxed{\sf 6.25 \ g}[/tex]
Step-by-step explanation:
After every Half life , Half of the mass is left.
After 1st Half life = 100 g / 2 = 50 g
After 2nd Half life = 50 / 2 = 25 g
After 3rd Half life = 25 / 2 = 12.5 g
After 4th Half life = 12.5 / 2 = 6.25 g
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Hey guys I need help on this one!!
Answers
Answer:
...........................................................
Step-by-step explanation:
Answer:
I would go for the last one
RST reflection across the y-axis will make it 2 units above UVW and so you go down 2 units
The relationship between the number of boxes of printer paper purchased and total cost is represented in the table below.What is the cost of 1 box of paper?
Use the on-screen keyboard to type the correct answer in the box below.
Answers
Answer:Cost of 1 box of paper is 7.25
Step-by-step explanation:When you look at the table all you really need to do is divide 2 and 14.50 and you'll get you answer
Find the distance between the set of points (3, -3) and (3, 7)
Answers
Answer: 10
Step-by-step explanation:
plz answer i will give brainliest
Answers
Step-by-step explanation:
535÷30=
17
30⟌535
- 30
235
- 210
25
The answer is 17 with a remainder of 25
Checking the answer
(17×30) + 25 = (300+ 210) + 25 = (510) + 25 = 535
Hope this helps!!!
help fast please :) :) :) :) :)
Answers
Ready
Practice Unit Races for Ratios with Fractions - Practice - Level
Porter is on the swim team. In addition to swimming, he runs as part of his training.
Porter checks his heart rate halfway through his training session, as shown in the table.
Answers
Answer: 168
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
159 bpm when he swims.
What is 5/7 x 14/20 equal
Answers
Answer:
5/7 x 14/20= 1/2 or 0.5
Geometric mean of 14 and 12
Answers
Answer:
14 and 12
Step-by-step explanation:
At a sleepover, three friends are 5/8 of a pizza. For a snack the next day, the friends at 1/2 if the leftover pizza. What fraction of the pizza was not eaten?
Answers
Answer:
if im thinking right (i dunno if i am) but im pretty sure its 3/16
Step-by-step explanation:
bc if 5 of the slices were eaten that would be 3/8 and if they ate half of that the its 3/16 or 0.1875 I THINK im right but double check
Write the percent as a decimal.
47.63%.
Answers
Answer:
.4763
Step-by-step explanation:
A percent can be made into a decimal by moving the decimal two places to the left.
Find mZ1 and mZ2 .
I cant figure it out
Answers
Answer:
∠ 1 = 110°, ∠ 2 = 70°
Step-by-step explanation:
∠ 1 and 110° are vertical angles and are congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°
∠ 1 + ∠ 2 = 180°
110° + ∠ 2 = 180° ( subtract 110° from both sides )
∠ 2 = 70°
hey beautiful. I will try to give brainliest to whoever can answer this CORRECTLY thanks in advanced.
Answers
Answer:
AC=13, DE=24
Step-by-step explanation:
we find it using Pythagoras theorem, a²+b²=c²
note that 'c²' always represent the hypotenuse
for the first triangle,
5²+12²=25+144=169, this is the square form
√169=13
AC=13
for the second,
10²+b²=26², we will rearrange the formula so that we could find 'b'
b²=26²-10²
b²=676-100
b²=576
b=√576
b=24
DE=24
i hope this helps
Stay safe from the virus
Can someone please find x :) it will be much appreciated !! 20 points.
-5/6x -7/30x + 1/5x = -52
the answer will be a whole number or a simplified fraction.
Answers
Answer:
x=60
Step-by-step explanation:
my dad is a math teacher so I am good at math. I also used a calculator
3^(4x-5) = (1/27)^(2x+10) show your work
Answers
Answer:
3^4x-5=1/27^2x+10
We move all terms to the left:
3^4x-5-(1/27^2x+10)=0
Domain of the equation: 27^2x+10)!=0
x∈R
We get rid of parentheses
3^4x-1/27^2x-10-5=0
We multiply all the terms by the denominator
3^4x*27^2x-10*27^2x-5*27^2x-1=0
Wy multiply elements
81x^6-270x^2-135x^2-1=0
We do not support expression: x^6
Step-by-step explanation:
A chemist is using 348 milliliters of a solution of acid and water. If 14.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
milliliters
Х
5
?
Answers
Answer:
50.1 milliliters
Step-by-step explanation:
hope this helps!
Carla and Andrew have 29 chocolate chip cookies. Andrew has 8 more than twice Carla’s cookies. How many cookies does each person have?
Answers
Step-by-step explanation:
29 cookies
Carla has X cookies
Andrew has 8+ 2X cookies
x + 8 + 2x = 29
3x = 29-8
3x= 21
x = 7 / Carla has 7 cookies
8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies
If Mikael makes a deal with his bank every time he spends $10,000 from his bank account which has $10,000 dollars currently and his bank deposits $30,000 into this same account per day. How many days would it take Mikael to accumulate at least $1,000,000
Answers
20,000•5=100,000
20,000•50=1,000,000
will mark brainliest! in kite UVWX, m
Answers
Answer:
52
Step-by-step explanation:
if anyone knows could u please help
Answers
multiply the input by -4 ..
help me, please math
Answers
Answer:
i think its c
Step-by-step explanation:
Please help me with question 4 thank you !!
Answers
Answer:
b) similar by SSS theorem
Step-by-step explanation:
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answers
Answer:
172.8
Step-by-step explanation:
Answer:
172.8
Step-by-step explanation: Dont Trust Me But Its Right B)
WEST is a parallelogram. If mze = (3x – 18)º, mzw
find the value of y and mus.
(15y + 6)°, and m2T = (2x + 6),
Answers
9514 1404 393
Answer:
m∠W = m∠S = 126°
m∠E = m∠T = 54°
x = 24
y = 8
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so we have ...
∠E = ∠T
3x -18 = 2x +6
x = 24 . . . . . . . . . add 18-2x
Then the measure of these angles (in degrees) is ...
∠E = ∠T = 2x+6 = 2(24) +6 = 54
__
The adjacent angle W is supplementary to either of these:
∠W = 180° -∠E
15y +6 = 180 -54
15y = 120
y = 8
∠W = ∠S = 126°
Answer:
y = 8
Angle S= 126°
Step-by-step explanation:
