Find the composite function (please help) :)

Hi there!

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

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.