Question 1165632
.
q(x)=x^2+9
r(x)=√x+8
Find the following.
(a) (q ∘r)(8)=
(b) (r ∘q)(8)=
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<pre>
(a)  (q o r )(8) = q(r(8)).


     First compute  r(8) = {{{sqrt(8+8)}}} = {{{sqrt(16)}}} = 4.

     Next  compute  q(r(8)) = q(4) = {{{4^2+9}}} = 16 + 9 = 25.



(b)  (r o q)(8) = r(q(8)).


     First compute  q(8) = {{{8^2+9}}} = 64+9 = 73.

     Next  compute  r(q(8)) = r(73) = {{{sqrt(73+8)}}} = {{{sqrt(81)}}} = 9.
</pre>

Solved.