SOLUTION: Let f(x) = x – 2 and g(x) = 3x + 4. What is f(g(x)) ? and What is the quotient: (–10x3 – 5x2 + 15x) ÷ 5x ?

Algebra ->  Functions -> SOLUTION: Let f(x) = x – 2 and g(x) = 3x + 4. What is f(g(x)) ? and What is the quotient: (–10x3 – 5x2 + 15x) ÷ 5x ?      Log On


   

Question 536333: Let f(x) = x – 2 and g(x) = 3x + 4. What is f(g(x)) ?
and
What is the quotient: (–10x3 – 5x2 + 15x) ÷ 5x ?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If:
f(x) = x-2 and g(x) = 3x+4 Find f(g(x))
f(g(x)) = f(3x+4) = (3x+4)-2 = 3x+2
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%28-10x%5E3-5x%5E2%2B15%29%2F5x In the numerator, factor 5x.
5x%28-2x%5E2-x%2B3%29%2F5x+=+-2x%5E2-x%2B3