SOLUTION: f(x) = 15x - 12 g(x) = -15x^2 + 14x - 10 find g(g(7)) A. -6288203 B. 6543 C. 639 D. -4595 E. 538 F. -162,632

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Question 977735: f(x) = 15x - 12
g(x) = -15x^2 + 14x - 10
find g(g(7))
A. -6288203
B. 6543
C. 639
D. -4595
E. 538
F. -162,632

Found 2 solutions by Cromlix, Alan3354:
Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website!
Hi there,
f(x) = 15x - 12
g(x) = -15x^2 + 14x - 10
Find g(g(7))
-15(-15x^2 + 14x - 10)^2
+ 14(-15x^2 + 14x - 10) - 10
..........................
(-3375x^4 + 6300x^3 - 7440x^2 + 4200x - 1500)
+ (-210x^2 + 196x - 140) - 10
..........................
(-3375x^4 +6300x^3 - 7650x^2 + 4396x - 1650)
............................................
(-3375*7^4 +6300*7^3 - 7650*7^2 + 4396*7 - 1650)
........................................
= (A.) -6288203
Hope this helps:-)

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
g(x) = -15x^2 + 14x - 10
find g(g(7))
================
To find g(7), sub 7 for each x.
g(7) = -15*49 + 14*7 - 10 = -647
----------------
g(g(7)) = g(-647)
Sub -647 for each x in g(x)