Question

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Express your answer as a polynomial in standard form.
f(x) = -5x -5
g(x) = 2x² - 4x - 12
Find: f(g(x))

Answer 1

Explanation:

First, we need to substitute g(x) into f(x) wherever we see x in f(x):

f(g(x)) = -5(g(x)) - 5

Now, we need to substitute the expression for g(x) into the equation above:

f(g(x)) = -5(2x² - 4x - 12) - 5

Simplifying the expression inside the parentheses by distributing the -5:

f(g(x)) = -10x² + 20x + 60 - 5

Combining the constant terms:

f(g(x)) = -10x² + 20x + 55

So the final answer is:

f(g(x)) = -10x² + 20x + 55