Hi there!
[tex]\large\boxed{g(f(x)) = 108x^{2} - 156x + 46}[/tex]
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
