SOLUTION: Solve: 16. f(x) = 12x2 + 11x - 15 g(x) = 10x + 15 find g(g(9)) A. 2324 B. 2064 C. 1077 D. 1065 E. 1056 F. 1234 17. f(x) = -14x2 - 14x + 11 g(x) = -14x2 + 14x +

Algebra ->  Functions -> SOLUTION: Solve: 16. f(x) = 12x2 + 11x - 15 g(x) = 10x + 15 find g(g(9)) A. 2324 B. 2064 C. 1077 D. 1065 E. 1056 F. 1234 17. f(x) = -14x2 - 14x + 11 g(x) = -14x2 + 14x +      Log On


   

Question 1197899: Solve:
16. f(x) = 12x2 + 11x - 15
g(x) = 10x + 15
find g(g(9))
A. 2324
B. 2064
C. 1077
D. 1065
E. 1056
F. 1234

17. f(x) = -14x2 - 14x + 11
g(x) = -14x2 + 14x + 12
find g(f(3))
A. 356785
B. -356786
C. 3456345
D. -342553
E. -347272
F. -324564
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

16. f%28x%29+=+12x%5E2+%2B+11x+-+15
g%28x%29+=+10x+%2B+15
find g%28g%289%29%29
g%28g%28x%29%29=g%2810x+%2B+15%29
g%28g%28x%29%29=10%2810x+%2B+15%29%2B15
g%28g%28x%29%29=100x+%2B+150%2B15
g%28g%28x%29%29=100x+%2B+165
so,
g%28g%289%29%29=100%2A9+%2B+165
g%28g%289%29%29=1065

D. 1065

17. f%28x%29+=+-14x%5E2+-+14x+%2B+11
g%28x%29+=+-14x%5E2+%2B+14x+%2B+12
find g%28f%283%29%29
g%28f%28x%29%29=g%28-14x%5E2+-+14x+%2B+11%29
g%28f%28x%29%29=-14%28-14x%5E2+-+14x+%2B+11%29%5E2%2B14%28-14x%5E2+-+14x+%2B+11%29%2B12

g%28f%28x%29%29=-4+%28686+x%5E4+%2B+1372+x%5E3+-+343+x%5E2+-+1029+x+%2B+382%29
and
g%28f%283%29%29=-4+%28686+%2A3%5E4+%2B+1372+%2A3%5E3+-+343%2A3%5E2+-+1029+%2A3+%2B+382%29
g%28f%283%29%29=-347272

E. -347272