If h (x) = 3x-5 and g (x) = 2x^2-7x, find (g•h) (x)

The answer is 25.67and then you multiply by8 and get you 205.36

Correct answer: (g · h) (x) = 18 x² - 81 x + 85

Step-by-step explanation:

Given:

h (x) = 3 x - 5

g (x) = 2 · x² - 7 x

This is a composition of functions:

(g · h) (x) = g (h (x)) = g (3 x - 5) = 2 · (3 x - 5) ² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)

(g · h) (x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35

(g · h) (x) = 18 x² - 81 x + 85

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