Question

Express your answer as a polynomial in standard form.

f(x) = 3x² + 4x – 7
g(x) = 2x – 11
Find: g(f(x))

Answer 1

g(f(x)) = 6x^2 + 8x - 25

Explanation:

So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).

So this is how your equation should look, and then solve:

g(f(x)) = 2(3x^2 + 4x - 7) - 11

g(f(x)) = 6x^2 + 8x - 14 - 11

g(f(x)) = 6x^2 + 8x - 25 < ---- This is your answer

Hope this helps!