Question

If F(x) = 2x-5 and g(x) = x^2 + 1, what is G(F(x))?

A. 4x + 26

B. 2x^3-5

C. 4x^2 -20x + 26

D. 2x^3 + 2x - 5

Answer 1

C.
`\displaystyle 4x^2 - 20x + 26`

Explanation:

`\displaystyle [2x - 5]^2 + 1 = [2x - 5][2x - 5] + 1 = 4x^2 - 20x + 25 + 1 = 4x^2 - 20x + 26`

In compositional functions, you always take the function inside parentheses FIRST, inputting that into the second function for every x visible.

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