SOLUTION: f(x)= x^2+2x-3 and g(x)=5+x find (fg)(x)

Algebra ->  Algebra  -> Functions -> SOLUTION: f(x)= x^2+2x-3 and g(x)=5+x find (fg)(x)      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 54807This question is from textbook intro to functions
: f(x)= x^2+2x-3 and g(x)=5+x find (fg)(x)This question is from textbook intro to functions

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x^2+2x-3 and g(x)=5+x find (fg)(x)
(fg)(x) means you multiply the f function times the g function.
%28fg%29%28x%29=%28x%5E2%2B2x-3%29%285%2Bx%29
=x%5E2%285%2Bx%29%2B2x%285%2Bx%29-3%285%2Bx%29
=5x%5E2%2Bx%5E3%2B10x%2B2x%5E2-15-3x
=x%5E3%2B5x%5E2%2B2x%5E2%2B10x-3x-15
highlight%28%28fg%29%28x%29=x%5E3%2B7x%5E2%2B7x-15%29
Happy Calculating!!!