Question

Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?

Answer 1

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

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

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x