SOLUTION: Suppose that the functions q and r are defined as follows: q(x)=x^2+3 r(x)= sqrt x+5 Find the following: (r o q)(1)= (q o r)(1)= Thank you!!

Algebra ->  Functions -> SOLUTION: Suppose that the functions q and r are defined as follows: q(x)=x^2+3 r(x)= sqrt x+5 Find the following: (r o q)(1)= (q o r)(1)= Thank you!!      Log On


   

Question 745032: Suppose that the functions q and r are defined as follows:
q(x)=x^2+3
r(x)= sqrt x+5
Find the following:
(r o q)(1)=
(q o r)(1)=
Thank you!!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r o q merely means r(q(x)) and so you are looking to evaluate r(q(1)).

q(1) is the input into r(x).
r%28x%29=+sqrt+%28x%2B5%29 , _____you did not show exactly what you meant,
r%28q%28x%29%29=sqrt%28%28x%5E2%2B3%29%2B5%29
Setting x=1, r%28q%281%29%29=sqrt%281%5E2%2B3%2B5%29=sqrt%289%29=%2B-+3