SOLUTION: is f(x)*g(x) the same as f(g(x)) ?

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Question 173374: is f(x)*g(x) the same as f(g(x)) ?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
we need functions if f(x)=x+1 and g(x)=2x+5
then f(x)*g(x)= (x+1)(2x+5)= 2x%5E2%2B7x%2B5
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whereas f(g(x))=f(2x+5)=(2x+5)+1=2x+6.....
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so in this case no they do not equal each other
:if f(x)=x and g(x)=y
:
f(x)*g(x)=xy and f(g(x))=y.........so in general it appears that these statements are not the same.