Question

Which two functions are inverses of each other?
f(x)= x, g (x) =-x
f(x)=2x, g(x)= -1/2x
f(x)=4x, g(x0=1/4x
f(x)=-8x, g(x)=8x

Answer 1

Only f(x) = 4x and g(x) = (1/4)x are inverses.
Check: f(g(x)) = 4*(1/4 x) = x and g(f(x)) = (1/4)*(4x) = x.