Question

Find g[h(x)] and h[g(x)] of the functions g(x)=x^2-7 and h(x)=3x+2

Answer 1

g(h(x)) = 9x² + 12x - 3

h(g(x)) = -3x² - 19

Explanation:

g(h(x)) = (3x² + 2)² - 7

= 9x² + 6x + 6x + 4 - 7

= 9x² + 12x - 3

h(g(x)) = 3(x² - 7) + 2

= 3x² - 21 + 2

= 3x² - 19