Given: f (x) = x 2 + 2x + 1, find f (x + h) and simplify.

Question

Jaime Harris

Mathematics

3 September, 02:27

Given: f (x) = x 2 + 2x + 1, find f (x + h) and simplify.

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Answers (1)

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Ivan Mccarthy · Answer 1

f (x) = x² + 2x + 1

f (x + h) = (x + h) ² + 2 (x + h) + 1

f (x + h) = (x + h) (x + h) + 2 (x) + 2 (h) + 1

f (x + h) = (x (x + h) + h (x + h)) + 2x + 2h + 1

f (x + h) = (x (x) + x (h) + h (x) + h (h)) + 2x + 2h + 1

f (x + h) = (x² + hx + hx + h²) + 2x + 2h + 1

f (x + h) = (x² + 2hx + h²) + 2x + 2h + 1

f (x + h) = x² + 2x + 2hx + h² + 2h + 1