Question 54807
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.
{{{(fg)(x)=(x^2+2x-3)(5+x)}}}
={{{x^2(5+x)+2x(5+x)-3(5+x)}}}
={{{5x^2+x^3+10x+2x^2-15-3x}}}
={{{x^3+5x^2+2x^2+10x-3x-15}}}
{{{highlight((fg)(x)=x^3+7x^2+7x-15)}}}
Happy Calculating!!!