Question

find the value of f(x) = - 2x + 4 and g(x) = x ^ 2 - 8; (f(g(-2))

Answer 1

SOLUTION

$\begin{gathered} f(x)=-2x+4 \\ g(x)=x^2-8 \\ f(g(x)=-2(x^2-8)+4 \\ f(g(x)=-2x^2+16+4 \\ f(g(x)=-2x^2+20 \\ \text{Now let's find }f(g(-2) \\ f(g(-2)=-2(-2)^2+20 \\ f(g(-2)=-8^{}+20 \\ f(g(-2)=12 \end{gathered}$

Therefore, the answer is 12, option (4) is the correct answer