Asked by Anonymous
Simplify the difference quotient
[f(2 + h) − f(2)]/h if h ≠ 0.
f(x) = x^2 − 3x
I keep getting the answer wrong...please help.
[f(2 + h) − f(2)]/h if h ≠ 0.
f(x) = x^2 − 3x
I keep getting the answer wrong...please help.
Answers
Answered by
Reiny
[f(2 + h) − f(2)]/h if h ≠ 0
if f(x) = x^2 - 3x
f(2+h) = 4+4h+h^2 - 3(2+h)
= h^2 + h - 2
f(2) = 4-6 = -2
[f(2 + h) − f(2)]/h if h ≠ 0.
= (h^2 + h - 2 - (-2))/h
= (h^2 + h)/h
= h + 1
if f(x) = x^2 - 3x
f(2+h) = 4+4h+h^2 - 3(2+h)
= h^2 + h - 2
f(2) = 4-6 = -2
[f(2 + h) − f(2)]/h if h ≠ 0.
= (h^2 + h - 2 - (-2))/h
= (h^2 + h)/h
= h + 1
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