Question

if f(x)=x^2+3x+5, what is f(3+h)
A.(x^2+3x+5)(3+h)
B.h^2+9h+23
C.(3+h)^2+8+h
D.h^2+h+23

Answer 1

\(f(\color{blue}{x})=\color{blue}{x}^2+3\color{blue}{x}+5 \implies f(\color{blue}{3+h})=(\color{blue}{3+h})^2+3(\color{blue}{3+h})+5\)

Answer 2

now simplify

Answer 3

you can automatically rule out any option with an \(x\) because we have no \(x's\).

Answer 4

\[h^2+9h+23\] ?

Answer 5

yes

Answer 6

thank you :)