SOLUTION: if f(x)=1/x+2, then f(x+h)-f(x)/h= This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2) Is this the correct answer? Thank you so much for your time!

Algebra ->  Rational-functions -> SOLUTION: if f(x)=1/x+2, then f(x+h)-f(x)/h= This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2) Is this the correct answer? Thank you so much for your time!      Log On


   

Question 889382: if f(x)=1/x+2, then f(x+h)-f(x)/h=
This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2)
Is this the correct answer?
Thank you so much for your time!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if f(x)=1/(x+2), then f(x+h)-f(x)/h=
This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2)
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f(x+h) = 1/(x+h+2)
f(x) = 1/(x+2)
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f(x+h)-f(x) = 1/(x+h+2) - 1/(x+2) = [(x+2)-(x+h+2)]/{(x+2)(x+2+h)]
= h/[(x+2)(x+2+h)
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Dividing by h you get:
= 1/[(x+2)(x+2+h)
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Cheers,
Stan H.
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