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Alexxandr [17]
4 years ago
9

2 Points if f(x) = x2 + 3x + 5, what is f(3 + h)?

Mathematics
1 answer:
r-ruslan [8.4K]4 years ago
3 0

Answer:

h² + 9h + 23

Step-by-step explanation:

Given

f(x) = x² + 3x + 5

To evaluate f(3 + h) substitute x = 3 + h into f(x), that is

f(3 + h) = (3 + h)² + 3(3 + h) + 5 ← expand (3 + h)² using FOIL

            = 9 + 6h + h² + 9 + 3h + 5 ← collect like terms

            = h² + 9h + 23

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