SOLUTION: q(x)=x^2+9 r(x)=√x+8 Find the following. (q ∘r)(8)= (r ∘q)(8)=

Algebra ->  Rational-functions -> SOLUTION: q(x)=x^2+9 r(x)=√x+8 Find the following. (q ∘r)(8)= (r ∘q)(8)=      Log On


   



Question 1165632: q(x)=x^2+9
r(x)=√x+8
Find the following.
(q ∘r)(8)=
(r ∘q)(8)=

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
q(x)=x^2+9
r(x)=√x+8
Find the following.
(a) (q ∘r)(8)=
(b) (r ∘q)(8)=
~~~~~~~~~~~~~~~~~~~~~~~

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


     First compute  r(8) = sqrt%288%2B8%29 = sqrt%2816%29 = 4.

     Next  compute  q(r(8)) = q(4) = 4%5E2%2B9 = 16 + 9 = 25.



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


     First compute  q(8) = 8%5E2%2B9 = 64+9 = 73.

     Next  compute  r(q(8)) = r(73) = sqrt%2873%2B8%29 = sqrt%2881%29 = 9.

Solved.