Algebra/Algebra

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Expert: - 2/25/2011


Question
How do I find the difference quotient of f,
that is find f(x+h)- f(x)/h.
F(x) =x^2-3x+4

X^2 is squared/exponent?I am totally confused with algebra

Any help is greatly appreciated.  Thanks!

Answer
To compute them, take x+h and x and put each of them in the function.

Putting x+h in for x gives (x+h)^2 - 3(x+h) + 4 = x^2 + 2xh + h^2 - 3x - 3h + 4..

If f(x) is subtracted off, we get 2xh + h^2 - 3h.

When this is divided by h we get 2x + h - 3.

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