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 ->  Equations -> 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)       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
f is 2x%5E2%2B1
and
g is 7x-9



---------------------------
(d)
(g ∘ g)(x)

(e)
(f ∘ f)(−2)
---------------------------


Those mean g%28g%28x%29%29=7%287x-9%29-9=49x-63-9=highlight%2849x-72%29
and
f%28f%28x%29%29=2%282x%5E2%2B1%29%5E2%2B1, which you should simplify; but to evaluate for x at -2, substitute -2 for x, and evaluate: 2%28%28-2%29%5E2%2B1%29%5E2%2B1=2%285%29%5E2%2B1=highlight%2851%29.