SOLUTION: This is what i submitted and am being told that the composition of one of my answers is incorrect. I don't know which one. (f ° g)(x) and (g ° f)(x) f(x)=√(x+1),g(x)=x

Algebra ->  Functions -> SOLUTION: This is what i submitted and am being told that the composition of one of my answers is incorrect. I don't know which one. (f ° g)(x) and (g ° f)(x) f(x)=√(x+1),g(x)=x      Log On


   

Question 437761: This is what i submitted and am being told that the composition of one of my answers is incorrect. I don't know which one.
(f ° g)(x) and (g ° f)(x)
f(x)=√(x+1),g(x)=x+2

f(x+2)=√(x+2+1)
=√(x+3)
=x+3
g(√(x+1))=√(x+1)+2
=x+1+2
=x+3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(f ° g)(x) and (g ° f)(x)
f(x)=√(x+1),g(x)=x+2
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f[g(x)] = f[x+2) = sqrt(x+2+1) = sqrt(x+3)
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g[f(x)] = g[sqrt(x+1)] = sqrt(x+1)+2
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Cheers,
Stan H.
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