Which composition shows that f(x)= (4x-3)/2 is the inverse of g(x)= (2x+3)/4

Question

Options are:

f(g(x)) = 0

f(g(x)) = -1

f(g(x)) = 1

f(g(x)) = x

Thanks

Answer 1

Two inverse functions f and g have the property f(g(x)) = x.

You can confirm this with the given functions.

f(x) = (4x - 3)/2

g(x) = (2x + 3)/4

f(g(x)) = (4((2x + 3)/4) - 3)/2 = ((2x + 3) - 3)/2 = 2x/2 = x.