Answer to Question #55752 in Algebra for Butch DeLoria

Question

Arithmetic Functions
1: If f(x) = 8x and g(x) = 2x+1, find (f o g)(x).

A: 10x + 1

B: 16x + 1

C: 16x + 8

D: 16x^2 +8x

2: If h(x) = (f o g)(x) and h(x) = 3(x + 2)^2, find f(x) and g(x).

A: f(x) = 3x^2 g(x) = (x + 2)^2

B: f(x) = x + 2 g(x) = 3x^2

C: f(x) = (x + 2)^2 g(x) = 3x^2

D: f(x) = 3x^2 g(x) = x + 2

3: For f(x) = 3x +1 and g(x) = x^2 -6, find (f + g)(x)

A: 3x^2 – 17

B: 3x^2 – 5

C: x^2 +3x -5

D: x^2 +3x + 7

4: For f(x) = 2x + 1 and g(x) = x^2 -7, find (f – g)(x)

A: -x^2 +2x +8

B: 2x^2 – 15

C: x^2 - 2x – 8

D: -x^2 +2x – 6

5: For f(x) =4x + 1 and g(x) = x^2 – 5, find (f o g)(x).

A: 4x^3 +x^2 -5x -5

B: 4x^3 +x^2 -20x -5

C: 4x^2 – 19

D: 4x^3 + x^2 – 4x – 6