If f(x)=4x-1 and g(x)=x+1/4, what are f(g(x)) and g(f(x)).

Question

Are f(x) and g(x) inverse functions?

Answer 1

f(g(x)) = f(x + ¼) = 4(x + ¼) - 1 = 4x + 1 - 1 = 4x

 

Since f(g(x)) ≠ x, f(x) and g(x) are not inverse functions.