Find f ◦ g and g ◦ f, where f(x) = x 2 + 1 and g(x) = x + 2, are functions from R to R

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$f (g (x)) = f (x + 2) = (x + 2)^{2} + 1$

$=x^2+4x+4+1$

$=x^2+4x+5$

Answer: x^2+4x+5

$g(f(x)) =g(x^2+1)=(x^2+1)+2$

$=x^2+3$

Answer: x^2+3

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Question ID: mtid-5-stid-8-sqid-3763-qpid-2462