Simplified form of difference quotient for f(x) = 5x^2

[market]

Would someone explain how to figure this out? f(x+h) - f(x), all divided by 2

f(x)= 5x[sup:296al4e1]2[/sup:296al4e1]

 

[pka]

Re: Simplified form of difference quotient

\(\displaystyle \begin{array}{l} f(x) = 5x^2 \\ \frac{{f(x + h) - f(x)}}{2} = \frac{{5\left( {x + h} \right)^2 - 5x^2 }}{2} \\ \end{array}\)
Expand and reduce.

 

[market]

I guess I can't figure of my problems b/c I need to brush up on my algebra.
Do I multiply X & H by 5 then square it?
5x+4h squared? right?

 

[market]

I don't understand what I am suppose to do. IF someone could breakdown and complete one problem then I could understand. i can not figure out a problem IF I DO NOT know what I am suppose to do.

As I read & try other problems I come up with a few answers myself.
So you take 5(x+h) +5(x+h) which equals 10x+10h btu what happens to the - 5x squared divided by 2?

 

[stapel]

i can not figure out a problem IF I DO NOT know what I am suppose to do.

Since you were provided with the function-notation explanation, but you say that this left you having no idea what to do, it would appear that you missed the lectures (or the course) where they covered function notation and the evaluation of functions. Since we cannot replicate those missing hours (weeks?) of instruction within this environment, you will need to hire a local qualified tutor for face-to-face re-teaching, or else you'll need to try self-study. If you want to do the latter, try the following:

You don't seem to be comfortable with simplifying with parentheses and more than one variable, so start here:

. . . . .Google results for "simplify like terms"

. . . . .Google results for "simplifying parentheses"

Then move on to functions and function notation:

. . . . .Google results for "functions"

. . . . .Google results for "function notation"

. . . . .Google results for "evaluating functions"

If you are not ready for the lessons in the above links, please reply with specifics regarding the areas on which you need background material. Thank you!

Eliz.

 

[skeeter]

I guess I can't figure of my problems b/c I need to brush up on my algebra.
Do I multiply X & H by 5 then square it?
5x+4h squared? right?

no.

are you familiar with the order of operations?

square the quantity (x+h) first, then multiply by 5.