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1.Let f ( x ) = x 3 +4, g ( x ) = x 2 -2, and h ( x ) =6 x +6.
1.Letf(x) =x3+4,g(x) =x2-2, andh(x) =6x+6. Find the rule for the function.
gf
2.Letf(x) =x3+3,g(x) =x2-3, andh(x) =7x+1. Find the rule for the function.
fgh
3.Find the rules for the composite functionsfgandgf.
f(x)+9x2+2x+1 ; g(x)=x+3
fg=
gf=
4.Evaluateh(11), whereh= (gf).
f(x)=1/x-10 ; g(x)= x2+10
h(11)=
5.Findf(a+h) -f(a) for the function. Simplify your answer.
fx)=x2-15x+9
f(a+h) -f(a) =
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