Question

suppose that the functions q and r are defined as follows.
q(x) = x² + 7
r(x) = √(x + 8)
find the following.
(q ∘ r)(1) =
(r ∘ q)(1) =

Explanation:

Step1: Compute $r(1)$

$r(1)=\sqrt{1+8}=\sqrt{9}=3$

Step2: Compute $(q\circ r)(1)=q(r(1))$

$q(3)=3^2 + 7=9+7=16$

Step3: Compute $q(1)$

$q(1)=1^2 + 7=1+7=8$

Step4: Compute $(r\circ q)(1)=r(q(1))$

$r(8)=\sqrt{8+8}=\sqrt{16}=4$

Answer:

$(q \circ r)(1)=16$
$(r \circ q)(1)=4$