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Adding and Subtracting Functions

Simplify (f(x+h)-f(x))/h, where
a.) f(x)=2x+3
b.) f(x)=1/(x+1)
c.) f(x)=x^2

Solution Preview

Simplify (f(x+h)-f(x))/h, where
a.) f(x)=2x+3
Solution. As f(x)=2x+3, we have
f(x+h)=2(x+h)+3
Hence,
...

Solution Summary

Adding and Subtracting Functions is investigated.

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