Question

Find the composite function (please help) :)

Answer 1

Hi there!

`\large\boxed{g(f(x)) = 108x^(2) - 156x + 46}`

f(x) = 6x - 4

g(x) = 3x² - 2x - 10

To find (g(f(x)), substitute in the equation of f(x) as 'x' in g(x):

g(f(x)) = 3(6x - 4)² - 2(6x - 4) - 10

Simplify:

= 3(36x² - 48x + 16) - 2(6x - 4) - 10

= 108x² - 144x + 48 - 12x + 8 - 10

= 108x² - 156x + 46