Algebra 2 help
posted by Maya on .
Consider the following functions.
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.)
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