SOLUTION: I dont know how to get these? I only know f(x) 's? help me please! f(x) = 15x - 12 g(x) = -15x2 + 14x - 10 find g(g(7)) A -6288203 B6543 C639 D-4595

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I dont know how to get these? I only know f(x) 's? help me please! f(x) = 15x - 12 g(x) = -15x2 + 14x - 10 find g(g(7)) A -6288203 B6543 C639 D-4595       Log On


   

Question 791770: I dont know how to get these? I only know f(x) 's? help me please!

f(x) = 15x - 12
g(x) = -15x2 + 14x - 10
find g(g(7))
A -6288203
B6543
C639
D-4595
E 538
F -162,632

. f(x) = -13x2 + 12x + 14 g(x) = 11x - 13
find f(g(7))
A -162,632
B-6288203
C639
D-4595
E 538
F -52466

f(x) = 11x + 15
g(x) = -11x3 - 15x2 + 13x - 13
find g(f(6))
A -4595
B-52466
C-6288203
D-5943226
E 639
F 538
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+15x+-+12
g%28x%29+=+-15x%5E2+%2B+14x+-+10

find g%28g%287%29%29+
first calculate g%287%29
g%28x%29+=+-15%2A7%5E2+%2B+14%2A7+-+10
g%28x%29+=+-15%2A49+%2B+14%2A7+-+10
g%28x%29+=+-735+%2B+98+-+10
g%28x%29+=+-647
now calculate g%28g%287%29%29+=g%28-647%29+
g%28-647%29+=+-15%2A%28-647%29%5E2+%2B+14%2A%28-647%29+-+10
g%28-647%29+=+-15%2A%28418609%29-9058+-+10
g%28-647%29+=+-6279135+-+9068
g%28-647%29+=+-6288203
so, answer is : A -6288203+


f%28x%29+=+-13x%5E2+%2B+12x+%2B+14
+g%28x%29+=+11x+-+13+

find f%28g%287%29%29
first calculate g%287%29
+g%287%29+=+11%2A7+-+13+
+g%287%29+=+77+-+13+
+g%287%29+=+64+
now f%28g%287%29%29 which is f%2864%29
f%2864%29+=+-13%2A64%5E2+%2B+12%2A64+%2B+14
f%2864%29+=+-13%2A4096+%2B+768+%2B+14
f%2864%29+=+-53248+%2B+782
f%2864%29+=+-52466

answer is: F+-52466+


f%28x%29+=+11x+%2B+15
g%28x%29+=+-11x%5E3+-+15x%5E2+%2B+13x+-+13
find g%28f%286%29%29
first calculate f%286%29

f%286%29+=+11%2A6+%2B+15
f%286%29+=+66%2B+15
f%286%29+=+81
then g%28f%286%29%29=g%2881%29
g%2881%29+=+-11%2A81%5E3+-+15%2A81%5E2+%2B+13%2A81+-+13
g%2881%29+=+-11%2A531441+-+15%2A6561+%2B+1053+-+13
g%2881%29+=+-5845851+-+98415+%2B+1040
g%2881%29+=+-5944266+%2B+1040
g%2881%29+=+-5943226
answer is: D -5943226