Question

If G(x) = (x + 5)2, and F(x) = x2 + 9x, what is the function G(F(x))?

Answer 1

Hello,

f(x)=x²+9x
g(x)=(x+5)²

g(f(x))=g(x²+9x)=((x²+9x)+5)²=(x²+9x+5)²=x^4+81x²+25+2*x²*9x +2*x²*5 +2*9x*5
=x^4+18x^3+91x²+90x+25