So,
Here we have that:
[tex]g^{-1}(0)=5[/tex]This implies that:
[tex]g^{-1}(0)=5\to g(5)=0[/tex]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.