Question

1. Let f(x)=x^3-2x. Simplify the expression f(x+h)-f(x)/h
2. Let f(x)=3x+2 and g(x)=x/x+1
3. Let f(x)=2x^2. Simplify the expression f(x+h)-f(x)/h

Answer 1

wherever there is an f(x) in the equation to the right, plug in x^3-2x

Answer 2

Here's something that might help, since you're asking similar questions.

1. \(f(x) = x^3-2x\)

This is a function. Basically, this means that:

\(f(a) = a^3-2x\)
\(f(b) = b^3 - 2x\)
\(f(...) = (...)^3 - 2(...)\)
\(f('conad') = ('conad')^3 - 2('conad')\)
\(f(x+h) = (x+h)^3 - 2(x+h)\)

Now, you just have to find: \[\frac{f(x+h) - f(x)}{h}\]

Try it.