If f (x) = x² + 3 and g (x) = 3x - 1 then find the following:

Question

1. (f/g)(x)

2. (f o g)(x)

3. (f o g)(1)

4. (g o f)(x)

Answer 1

1.
(f/g)(x) = (x^2 + 3)/(3x-1)

2.
(fog)(x) = f(g(x))
= (3x-1)^2 + 3

3.
(fog)(1) = 2^2-3 = 1

4.
(gof)(x) = 3(x^2 + 3) - 1