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September 3, 2014

September 3, 2014

Posted by **Maya** on Sunday, July 14, 2013 at 10:02pm.

f(x) = x2 − 3x, g(x) =√(x+2)

(a) Find (f *g)(x). (Simplify your answer completely.)

(B)Find the domain of f *g. (Enter your answer using interval notation.)

(c) Find (g *f)(x). (Simplify your answer completely.)

(D) Find the domain of g*f. (Enter your answer using interval notation.)

- Algebra 2 help -
**Steve**, Monday, July 15, 2013 at 4:52amf*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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