Question

If f(x)=x²+3x+5, what is f(3+h)

Answer 1

Answer:
`D. h^(2)+9h+23`

Explanation:

`f(x)=x^(2) +3x+5`

1. Input (3+h) instead of x.

`f(3+h)=(3+h)^(2) +3(3+h)+5\\`

2. Get rid of parentheses.

`f(3+h)=9+6h+h^(2) +9+3h+5\\`

`f(3+h)=h^(2)+9h+23`

Therefore, D is the answer.