Question

Homework question: Find f(x+h) - f(x) / h for f(x) = -5/x+2
Please help asap

Answer 1

wtf

Answer 2

too many numbers im going crazy

Answer 3

you mean the derivative ?
if you mean the derivative , its simply , 0(x+2) + 1 ( -5) / (x+2)^2
-5/(x+2)^2

Answer 4

0_0

Answer 5

I'm not sure what it is called, but the calculation is interesting. Can you walk me through the steps?

Answer 6

Homework question: Find f(x+h) - f(x) / h for f(x) = -5/x+2

1) You have not written it correctly. You MEAN [f(x+h) - f(x)] / h The square brackets are NOT optional.

2) You have not written it correctly. You MEAN -5/(x+2) The parentheses are NOT optional.

3) Simply substitute. What's preventing you from doing this?

f(x+h) = -5/[(x+h)+2]

You already can do that. Now, simplify!

Answer 7

it is the derivative , instead of putting x , put x+h

Answer 8

It sounds complicated, as this question in my homework is in the precalculus topic. I'm having a hard time simplifying.

Answer 9

It is NOT the derivative. Do you see a limit in there?

@ElleCullen This ratio is very important in early studies of the calculus. This is a surreptitious exposure for you so that it will look familiar when you get there.

Seriously, just substitute and simplify.

\(\dfrac{f(x+h) - f(x)}{h} = \dfrac{\dfrac{-5}{x+h+2}-\dfrac{-5}{x+2}}{h}\)

That's it. Now simplify.

Answer 10

let me know if I did the simplification right.
f(x+h)-f(x)/h = 0/h/h
Is this the way to do it?

Answer 11

That makes no sense and you still don't seem to understand the Order of Operations that makes more parentheses necessary.

First, write that expression that I gave you. That is where you start. Substitution is all that happened.

\(f(x) = \dfrac{-5}{x+2}\)

\(f(x+h) = \dfrac{-5}{x+h+2}\)

Answer 12

Oh, I see how this goes. I think I can finish this question now :)
Elle