check my answer please. Suppose that the functions p and q are defined as follows. p(x)=x^2+3 q(x)=sqrt(x+2) find (q*p)(2)=[?] and (p*q)(2)=[?] I got (q*p)(2)=sqrt 10 and (p*q)(2)=8

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check my answer please. Suppose that the functions p and q are defined as follows. p(x)=x^2+3 q(x)=sqrt(x+2) find (q*p)(2)=[?] and (p*q)(2)=[?] I got (q*p)(2)=sqrt 10 and (p*q)(2)=8

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\[p(x)=x^2+3\]\[q(x)=\sqrt{x+2}\] \[(qp)(x)=q(x) \times p(x)\] \[pq(x)=p(x) \times q(x)\] Since multiplication is commutative, I don't understand how you are getting different answers
this could be a composite function question like (q o p) (x) or (p o q)(x) ?
I was thinking that too, let me check your answers @Kimes

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sorry yes (q o p) (x) or (p o q)(x) i the right format
I think your answers are incorrect @Kimes , both of them
well I followed the steps shown in my book, can you explain then
Can you show me your steps, how you've attempted the question?
(q o p) q(p(2)) q(2^2+3) q(7) sqrt 7+3= sqrt 10 (p o q) p(q(2)) p(sqrt 2+3) p(sqrt 5) (sqrt 5)^2+3=8
I see the mistake now, let me ask you first what is your q(x)? \[q(x)=\sqrt{x+2}\] \[q(x)=\sqrt{x+3}\] Because in the question you've said sqrt{x+2} but in the solution you've used sqrt{x+3}
ahh I made a silly mistake! thanks for catching it!
You're welcome, your method of doing the question is perfectly fine, which is good as that means you've grasped the concept, only thing is you made a calculation mistake, that's not a big problem you just have to be careful

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