Question

Which one is the right answer

Answer 1

Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.

Step-by-step explanation:

A function g is the inverse of function f if

f(g(x)) = g(f(x))=x

Given: f(x)=  x+4 , g(x) = x-4

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

= x-4+4 = x

i.e. f(g(x)) =x

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

i.e. g(f(x))=x

Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.