If f(x)=x²+3x+5, what is f(3+h)

Niutech asked Jun 9, 2023

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Niutech asked Jun 9, 2023

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23 votes

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.

Meghann answered Jun 14, 2023

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