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If f(m) = m2 − 3m + 1, find (f(2+h)-f(2)h),h≠0 - Mathematics and Statistics

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Question

If f(m) = m2 − 3m + 1, find `(("f"(2 + "h") - "f"(2))/"h"), "h" ≠ 0`

Sum

Solution

f(m) = m2 – 3m + 1

`(("f"(2 + "h") - "f"(2))/"h")`

= `((2 + "h")^2 - 3(2 + "h") + 1 - (2^2 - 3(2) + 1))/"h"`

= `("h"^2 + "h")/"h"`

= h + 1

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Chapter 6: Functions - Exercise 6.1 [Page 118]

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