SOLUTION: (f o g)(X) f(x)=3x^2-8x g(x)=2x I know the answer I don't know how understand how. I got this: 6x^2-16x I know it is not correct. This is the answer: 12x^2-16x I do not und

Algebra ->  Expressions-with-variables -> SOLUTION: (f o g)(X) f(x)=3x^2-8x g(x)=2x I know the answer I don't know how understand how. I got this: 6x^2-16x I know it is not correct. This is the answer: 12x^2-16x I do not und      Log On


   

Question 1059229: (f o g)(X)
f(x)=3x^2-8x
g(x)=2x
I know the answer I don't know how understand how.
I got this: 6x^2-16x I know it is not correct.
This is the answer: 12x^2-16x
I do not understand how that is the answer.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
That first expression which should really be written %28f+o+g%29%28x%29, tells that g is the input of f. This is function composition. The function %28fog%29%28x%29 means the function f is given the function g as its input. The notation can be written also as f%28g%28x%29%29.

NOW you understand and know what to do! Simplify the composition.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

(f o g)(X)
f(x)=3x^2-8x
g(x)=2x
I know the answer I don't know how understand how.
I got this: 6x^2-16x I know it is not correct.
This is the answer: 12x^2-16x
I do not understand how that is the answer.
f%28x%29+=+3x%5E2+-+8x                  g(x) = 2x