1. Let f(x) = 3 2x² and g(x) = x + 2.

Compute the following.

-(f g)(x)

-(f g)(1)

-(g f)(x)

-(g f)(1)

-(f f)(x)

-(g g)(1)

2.Compute (f g)(x), (f g)(2), (g f)(x), and (g f)(2) for each pair of functions.

(a) f(x) = x² 5x 3; g(x) = 3 3x

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

(b) f(x) = 2^x; g(x) = x² + 1

(f g)(x)=

(f g)(2)=

(g f)(x)=

(g f)(2)=

(c) f(x) = x; g(x) = 2x⁵ 5x²

(f g)(x)=

(f g)(2)=

(g f)(x)=

(g f)(2)=

(d) f(x) = 4x 3; g(x) = (x + 3) / 4

(f g)(x)=

(f g)(2)=

(g f)(x)=

(g f)(2)=

3.Let f(x) = (1/x²) + 1 and g(x) = 1 / (x 1).

Compute (f g)(x).

4.Let F(x) = 4x-5/4x+5 and G(x) = x+1/x-1

(a) (F G)(x) (b) F[G(t)]

(c) (F G)(2)

(d) (G F)(x)

(e) G[F(y)]

(f) (G F)(2)