SOLUTION: Calculate the indicated value f(x) = 11x^2 + 12x - 12 g(x) = 12x^2 - 11x + 11 find g(f(3)) I'm not sure if i did everything correct, I came up with g(f(3)):31,734. I'd just

Algebra ->  Algebra  -> Functions -> SOLUTION: Calculate the indicated value f(x) = 11x^2 + 12x - 12 g(x) = 12x^2 - 11x + 11 find g(f(3)) I'm not sure if i did everything correct, I came up with g(f(3)):31,734. I'd just       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 83989: Calculate the indicated value
f(x) = 11x^2 + 12x - 12
g(x) = 12x^2 - 11x + 11
find g(f(3))
I'm not sure if i did everything correct, I came up with g(f(3)):31,734. I'd just like to know if this is right, and if not I'd like to see the steps so I know what I did wrong, thank you!
Answer by jim_thompson5910(14938) About Me  (Show Source):
You can put this solution on YOUR website!
Lets first find f%283%29 which is the inner function

f%283%29=11x%5E2+%2B+12x+-+12 Start with the given equation

f%283%29=11%283%29%5E2+%2B+12%283%29+-+12 Plug in x=3

f%283%29=11%2A9+%2B+12%2A3+-12Square 3

f%283%29=99+%2B+36+-12 Multiply

f%283%29=123 Combine like terms

Since f%283%29=123 g%28f%283%29%29=g%28123%29

So lets find g%28123%29

g%28123%29=12x%5E2+-+11x+%2B+11 Start with the given equation

g%28123%29=12%28123%29%5E2+-+11%28123%29+%2B+11 Plug in x=123

g%28123%29=12%2A15129+-+11%2A123+%2B11 Square 123

g%28123%29=181548+-+1353+%2B11 Multiply

g%28123%29=180206 Combine like terms

So g%28f%283%29%29=180206