SOLUTION: I need help performing the indicated operation f(x)=4x2 +5x+7, g(x)=5x-3 I need to find (g of)(x)

Algebra ->  Graphs -> SOLUTION: I need help performing the indicated operation f(x)=4x2 +5x+7, g(x)=5x-3 I need to find (g of)(x)      Log On


   

Question 127194: I need help performing the indicated operation
f(x)=4x2 +5x+7, g(x)=5x-3
I need to find (g of)(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, (g o f)(x) means g(f(x))

g%28x%29=5x-3 Start with the second function



g%28f%28x%29%29=5%284x%5E2+%2B5x%2B7%29-3 Plug in f%28x%29=4x%5E2+%2B5x%2B7. In other words, replace each x in g(x) with 4x%5E2+%2B5x%2B7


g%28f%28x%29%29=20x%5E2+%2B25x%2B35-3 Distribute


g%28f%28x%29%29=20x%5E2+%2B25x%2B32 Combine like terms