Composition of two functions Basic

Question

p(x)=x²+7

q(x)=√x+8

Find the Following:

(q o p) (1)=

(p o q) (1)=

Answer 1

1)

 

(q ° p)(-1) = q(p(-1))

 

 

First, you will evaluate p(x) when x=-1.  The result of that will be the input of q(x).

 

p(-1) = (-1)² + 7

        = 1 + 7

        = 8

 

q(8) = √8 + 1

 

 

Compute q(8) to find the composition.  I am not sure if q(x) is √(x)+1   or     √(x + 1), so I will let you take it from here.

 

 

Do the same for the second question.  I will set it up for you to help you start off.

 

p(q(-1))