# Algebra 2 help

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Consider the following functions.
f(x) = x2 − 3x, g(x) =√(x+2)
(B)Find the domain of f *g. (Enter your answer using interval notation.)
(D) Find the domain of g*f. (Enter your answer using interval notation.)

• Algebra 2 help -

f*g = g*f = (x^2-3x)√(x+2)
domain is all reals x >= -2

If you meant ◦ instead of *, then

(f◦g) = f(g) = g^2-3g = (x+2) - 3√(x+2)
(g◦f) = g(f) = √(f+2) = √(x^2-3x)

domain of f◦g is x >= -2
domain of g◦f is x<= 0 or x>= 3

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