Question

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

Answer 1

Answer:

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

Step-by-step 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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