Question

Use these functions to evaluate the following problems:

f(x) = x g(x) = x - 3 h(x) = x^2 - 9 k(x) = 2x

(f+g)(x)
(k+g)(x)
(f-k)(x)
(k-g)(x)

Answer 1

(f+g)(x) = 2x-3

(k+g)(x) = 3x-3

(f-k)(x) = -x

(k-g)(x) = x+3

Explanation:

(f+g)(x)

x + x - 3

2x - 3

(k+g)(x)

2x + x - 3

3x - 3

(f-k)(x)

x - (2x)

-x

(k-g)(x)

2x - (x - 3)

2x - x + 3

x + 3