SOLUTION: if f(x)=2x+3 and g(x)= 2x^2-3x+4, find f(g(x)).

Algebra ->  Functions -> SOLUTION: if f(x)=2x+3 and g(x)= 2x^2-3x+4, find f(g(x)).      Log On


   



Question 173143: if f(x)=2x+3 and g(x)= 2x^2-3x+4, find f(g(x)).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the composition function, simply replace each "x" in f(x) with 2x%5E2-3x%2B4 and simplify

f%28g%28x%29%29=2%282x%5E2-3x%2B4%29%2B3=4x%5E2-6x%2B8%2B3=4x%5E2-6x%2B11


So f%28g%28x%29%29=4x%5E2-6x%2B11