Question

If the inverse of a function g exists and g^-1(0)=5, what is the value of an x-intercept of g?

Answer 1

So,

Here we have that:

`g^(-1)(0)=5`

This implies that:

`g^(-1)(0)=5\to g(5)=0`

Now, the x-intercept of a function is defined as all the values of x that makes y-axis or the function = 0.

So, given that g(5) = 0, notice that g(x)=0 when x=5. So, the value of an x-intercept of g is 5.