<h2>Writing the Inverse of a Function</h2><h3>
Answer:</h3>
![f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>
Let 
so that the inverse of 
is equal to 
.
Solving for :
![f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%5E3%20-5%20%5C%5C%20y%20%3D%203x%5E3%20-5%20%5C%5C%20x%20%3D%203y%5E3%20-5%20%5C%5C%203y%5E3%20-5%20%3D%20x%20%5C%5C%203y%5E3%20%3D%20x%20%2B5%20%5C%5C%20y%5E3%20%3D%20%5Cfrac%7Bx%20%2B5%7D%7B3%7D%20%5C%5C%20y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D)
Since the inverse of is equal to , .
Solution:
from; f(2)=3
f(2n) nf(2)
(3)(n)
therefore :
f(32)=f(2.16)
f(32)=16f(2)
f(32)=(16)(3)
f(32)=48 final answer
for more details, please see the solution attached.
A=2πrh+2πrsquare
=2π3*5+2π3*3
30π+18π
48πmsquare
Y=2x-9
therefore, slope is 2 and y-intercept is 9
Answer:
He did the complete opposite of what he needed to do
Step-by-step explanation:
The error is that when you need to find x - intercept, you need to replace the value of y with zero, not the y value.
Cause otherwise, what he did here is to find the y - intercept
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
