Question 979385: for the following function, find (a) f(x+h) (b) f(x+h)-f(x), and
(c) f(x+h)-f(x)
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a.) f(x)=4x+11
b.) f(x)=1/x^
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! f(x)=4x+11
f(x+h)=4(x+h)+11=4x+4h+11
f(x+h)-f(x)=4h
eventually, you will divide by h and as h approaches 0, this will be 4.
f(x)=1/x (edited for exponent)
f(x+h)=1/(x+h)
f(x+h)-f(x)=[1/(x+h)]-(1/x)= (x-x-h)/[(x(x+h)]
-h/(x^2+xh)
eventually, you will divide by h and as h approaches 0, it will become -x^-2.
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