Question

Show that f(x)=πx-2 and f-1(x)=(x+2/π) are inverse functions of one another

Answer 1

They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.