Question

for the function f(x)=x^2+3+2, what is f(x+h)=

Answer 1

For the function $f(x)=x^2+3x+2$, let us find $f(x+h):$

$f(x+h)=(x+h)^2+3(x+h)+2=x^2+2hx+h^2+3x+3h+2\\=x^2+ (3+2h)x+h^2+3h+2.$