ERFATH C.
asked • 03/03/21
Given f(x) = x 2 − 2x + 3, g(x) = 3x + 2. Find a) f(g(x)) b) (g ∘ f)(0)
Philip P.
answered • 03/03/21
Affordable, Experienced, and Patient Algebra Tutor
f(x) = x2 − 2x + 3
g(x) = 3x + 2
a) f(g(x)) = g(x)2 - 2g(x) + 3 = (3x+2)2 - 2(3x+2) + 3 = _____? (Multiply it out and combine like terms)
b) (g ∘ f)(0) = g(f(0))
f(0) = 02 - 2·0 + 3 = 3
g(f(0)) = g(3) = _____?
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