Determine the composition f compositefunction gx Simplify yo

Determine the composition (f compositefunction g)(x). Simplify your answer. f(x) = 2x^2 - 3x + 5 g(x) = 3x - 1

Solution:

Here;

f(x) = 2x²-3x+5 and g(x)= 3x-1

(fog)(x)

=> (fog)(x) = f(g(x))

=> (fog)(x) = f(3x-1)

=> (fog)(x) = 2(3x-1)² - 3(3x-1) + 5

=> (fog)(x) = 2(9x²+1-6x)-9x+1+5

=> (fog)(x) = 18x² -21x +8