CPM Homework Help : INT3 Problem 7-86

What is the inverse function of each of the following functions? Use any method to write an equation for the inverse function. Be sure to restrict domains as necessary.

$f\left(x\right) = x^{2} + 3$
Hint (a):
This function squares the input then adds $3$ . How can this be undone? Use the eTool to check your answer.
Answer (a):
Click the link below for the answer eTool:
INT3 7-86(a) Answer etool

$f(x) =\sqrt { 5 x - 6 }$
Hint (c):
To undo square rooting, square both sides of the equation.
Partial Answer (c):
$f^{-1}(x)=\frac{x^2+6}{5}$

Use the eTool below to graph the function and its inverse.
Click the link at right for the full version of the eTool: Draw Inverse eTool
Domain restrictions can be added to a function by using brackets, for example $\text{{x>1}}$ . Make sure both of the graphs are functions.