SOLUTION: Given
f(x) = 2x2 + 1
and
g(x) = 7x − 9,
find the following.
(a)
f(g(2))
(b)
f(g(x))
(c)
g(f(x))
(d)
(g ∘ g)(x)
(e)
Algebra.Com
Question 1157887: Given
f(x) = 2x2 + 1
and
g(x) = 7x − 9,
find the following.
(a)
f(g(2))
(b)
f(g(x))
(c)
g(f(x))
(d)
(g ∘ g)(x)
(e)
(f ∘ f)(−2)
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
f is
and
g is
---------------------------
(d)
(g ∘ g)(x)
(e)
(f ∘ f)(−2)
---------------------------
Those mean
and
, which you should simplify; but to evaluate for x at -2, substitute -2 for x, and evaluate: .
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