Question

QF Q6.) Find the following function for b.

Answer 1

(g₀f)(x)=g(f(x))
=g(2x-2)
=5(2x-2)^2-3
=5(4x^2-8x+4)-3
=20x^2-40x+17

Answer 2

For (g o f)(x), you plug in the equation of f(x) where the x-variable is in g(x).

5(2x - 2)² - 3

First, you do FOIL method of the binomial:

5(4x² - 8x + 4) - 3

Now distribute the 5:

20x² - 40x + 20 - 3

And combine like terms:

20x² - 40x + 17