Question

The Inverse of G(x) is a function. True or False

Answer 1

Answer:

Inverse of G(x) is not a function

Step-by-step explanation:

We have been given with graph and given graph is of the function $y=x^2-4$

We need to tell whether the inverse of given function is function or not.

We need to interchange the variables to find inverse of a function we will get

$x=y^2-4$

Now, after simplifying we will get  $y^2=x+4$

Hence, $y=\pm\sqrt{x+4}$

Here for each value of x there will not be different value of y

Therefore inverse of G(x) is not a function.