Question

category: homework current score: 23.8/43 points score: 0 of 1 point given f(x) = 4x + 4 and g(x) = x² + 4x. find (f ∘ g)(-2) = enter your answer

Explanation:

Step1: Find \(g(-2)\)

Substitute \(x = - 2\) into \(g(x)=x^{2}+4x\).
\(g(-2)=(-2)^{2}+4\times(-2)=4 - 8=-4\)

Step2: Find \((f\circ g)(-2)=f(g(-2))\)

Since \(g(-2)=-4\), substitute \(x=-4\) into \(f(x)=4x + 4\).
\(f(-4)=4\times(-4)+4=-16 + 4=-12\)

Answer:

\(-12\)