Asked by Shawn

Find (fog)(x)and (gof)(x)if f(x)=x-x^2 and g(x)= 2x+3.
Okay so I did the following:
For f(of)g(x), take (2x+3) - (2x+3)^2
(insert g(x) where the "x" is in f(x) )
For g(of)f(x), take 2[x-x^2] +3

The first answer that I get for (2x+3) - (2x+3)^2 is -4x^2-12x-9
The second answer that I get for
2[x-x^2] +3 is 2x-2x^2+3
are these the answers to the problem?
Answered by drwls
You did not subtract the terms correctly for f(of)g(x). You only did the (2x+3)^2 calculation.

Your g of f(x) is correct
Answered by Shawn
for f of g(x) I have -4x^2-10x-6

Is this right?
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