Question

Use these functions to evaluate the following problems: f(x) = x, g(x) = x - 3, h(x) = x^2 - 9, k(x) = 2x

(hk)(x)
(k/f)(x)
(h/g)(x)

Answer 1

(hk)(x) = 2x³-18x

(k/f)(x) = 2

(h/g)(x) = x+3

Explanation:

(hk)(x)

(x² - 9)(2x)

2x³ - 18x

(k/f)(x)

2x/x

2

(h/g)(x)

(x² - 9)/(x - 3)

[x² - 3²]/(x - 3)

(x + 3)(x - 3)/(x - 3)

x + 3