Q. 76 - Precalculus Enhanced with Graphing Utilities

Question

If $g(-5)=3$ and g is one-to-one, what is $g^{-1}\left(3\right)$?

Step-by-Step Solution

Answer

If the function g is one to one function and$g(-5)=3$ then $g^{-1}\left(3\right)=-5$

Step 1. Given data

Function g is one to one function 

and $g(-5)=3$

Step 2. inverse function value

If a function $g\left(x\right)$ is one to one function

and $g\left(a\right)=b$

then $g^{-1}\left(b\right)=a$

as $g(-5)=3$

so $g^{-1}\left(3\right)=-5$