Question

Given: F(x) = 3x ^2 + 1, G(x) = 2x - 3, H(x) = x H -1 (x) = x 1/x -x

Answer 1

If I understand right you want the inverse of H(x)

H(x)=x
y=x
to calculate the inverse, isolate x, which is already the case, switch x and y, which doesn't change anything and that is your new function
the inverse is the same function in this case

so H⁻¹(x)=x

Answer 2

Since it's H^-1(x), than just look at the H(x)=x section and do the following:

1) Substitute the x in the equation for the x from the H^-1(x) -

  H(x)= (x)

2) Next take the x out of the parentheses cause there's nothing to multiply it to:

   H(x)= x

3) x is your answer cause there's nothing else to do

Answer: x

outro; live