If f(x) = 8x-7 and g(x)= (x+7)/(8),

Question

(a) f(g(x))= _____

(b) g(f(x))= _____

(c) Thus g ( x ) is called an _____ function of f ( x )

Answer 1

f(g(x)) = 8(x+7/8) - 7 = x + 7 - 7 = x

g(f(x) ) = (8x -7 + 7)/8 = 8x/8 = x

inverse function