SOLUTION: Suppose that the functions and are defined as follows. q(x)=x²+9 r(x)√x+8 Find the following. (r o q)(8)= (q o r )(8)=

Algebra ->  Equations -> SOLUTION: Suppose that the functions and are defined as follows. q(x)=x²+9 r(x)√x+8 Find the following. (r o q)(8)= (q o r )(8)=      Log On


   

Question 1180338: Suppose that the functions and are defined as follows.
q(x)=x²+9
r(x)√x+8
Find the following.
(r o q)(8)=
(q o r )(8)=
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Plug in the numbers and do the calculations yourself. Doing calculations for you is not what this forum is for.

(2) Don't us "√" in your posts; it is ambiguous. In this post, we don't know whether "√x+8" is sqrt(x)+8 or sqrt(x+8).

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

q%28x%29=x%5E2%2B9
r%28x%29=sqrt%28x%29%2B8-> assuming you have this
Find the following.
(r o q)(8)=
(q+o+r )(8)=

(r o q)(x)=r%28q%28x%29%29=r%28x%5E2%2B9%29=sqrt%28x%5E2%2B9%29%2B8

(r o q)(8)=sqrt%288%5E2%2B9%29%2B8
(r o q)(8)=sqrt%2873%29%2B8


(q+o+r )(x)=q%28r%28x%29%29=q%28sqrt%28x%29%2B8%29=%28sqrt%28x%29%2B8%29%5E2%2B9
(q+o+r )(8)=%28sqrt%288%29%2B8%29%5E2%2B9
(q+o+r )(8)=72+%2B+32sqrt%282%29%2B9
(q+o+r )(8)=81%2B32sqrt%282%29