Question

Find g(h(x))
f(x) = 4x – 6
g(x) = 5/3x + 1
h (x) = -12x^2 - 6x

Answer 1

g(h(x))

Explanation:

g(h(x))=

`(5 / 3)( (- 12) {x}^(2) - 6x) + 1 = \\ (5 *( - 12) {x}^(2) ) / 3 - (5 * 6x) / 3 + 1 = \\ (5 * (- 4) {x}^(2) ) -( 5 * 3x) + 1 = \\ - 20 {x}^(2) - 15x + 1`