Question

Express your answer as a polynomial in standard form.
f(x) = 2x + 7
g(x) = 2x2 - 6x +5
Find: g(f(x))

Answer 1

Answer:

$16x^{2}+44x+61$

Step-by-step explanation:

g(f(x)) means that you substitute f(x) as x in g(x)

$2(2x+7)^{2}-(6)(2x+7)+5$

expand

(2x+7)(2x+7)=

4x^2+28x+49

(2)(2x+7)(2x+7)=16x^2+56x+98

16x^2+56x+98-12x-42+5

16x^2+44x+61