Problem

Let $f(x)=-3 x-1, h(x)=-x-5$ Find $(f \circ h)(1)$.
\[
(f \circ h)(1)=
\]

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{17}\)

Steps

Step 1 :Find \(h(1)\) by plugging in \(x=1\) into the function \(h(x)=-x-5\):

Step 2 :\(h(1) = -1 - 5 = -6\)

Step 3 :Find \((f \circ h)(1)\) by plugging in \(h(1)=-6\) into the function \(f(x)=-3x-1\):

Step 4 :\((f \circ h)(1) = f(-6) = -3(-6) - 1 = 18 - 1 = 17\)

Step 5 :\(\boxed{17}\)

link_gpt