Question

Which two functions are inverses of each other?
g (x) = one-fourth x, g (x) = one-fourth x
f(x)=2x, g(x)=-1/2x
f(x)=4x, g(x)1/4x
f(x)=-8x, g(x)=8x

Answer 1

f(x) = 4x and g(x) = (1/4)x.

Reason: the inverse of f(x)=ax is f⁻¹(x)=(1/a)x. Check: f(g(x)) = 4*(1/4 x) = x and g(f(x)) = (1/4)*(4x) = x.