Question

Let f(x) = x − 1 and g(x) = x

x + 1 . Find each composite function:
(a) (f ◦ g)(x)
(b) (g ◦ f)(x)
(c) (f ◦ f)(x)

Answer 1

see explanation

Explanation:

(a)

(f ￮ g)(x)

= f(g(x))

= f(x) = x - 1

b)

(g ￮ f)(x)

= g(f(x))

= g(x - 1)

= x - 1

(c)

(f ￮ f)(x)

= f(f(x))

= f(x - 1)

= x - 1 - 1

= x - 2