Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Difference Quotient of f

Find the difference quotient of f; that is, find

[f(x + h) - f(x)]/x, where h cannot be 0. Be sure to simplify.

f(x) = -3x + 1

This is my set up:

[-3(x + h) + 1 - (-3x +1)]/h

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Difference Quotient of f

OK.

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 256

Re: Difference Quotient of f

Could it be simplified?

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Difference Quotient of f

Could it be simplified?

Good question. I will try later at the job on my lunch break.

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Difference Quotient of f

Could it be simplified?

f(x) = [-3(x + h) + 1 - (-3x +1)]/h

Numerator

-3x -3h + 1 + 3x - 1 = -3h

We now have:

f(x) = -3h/h

f(x) = -3

Yes, it can be simplified.

Note: If I plan to stay here, I gotta find out how to upload pictures. All this typing on my cell phone is driving me crazy.

Last edited by mathxyz (2024-03-11 01:44:58)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Difference Quotient of f

-3 is correct.

Some have managed to get images here using a phone but it's not easy and others have failed.

When I joined, the old server allowed small image uploads*, but MIF had to switch to a new server with new rules and this image facility was one casualty. As much as possible I use a laptop and I have an Imgur account. It still takes a while but it works.

Bob

* That's how I got a gif as an avatar.  I couldn't repeat what I did now, but, oddly it still works with my account.

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Difference Quotient of f

-3 is correct.

Some have managed to get images here using a phone but it's not easy and others have failed.

When I joined, the old server allowed small image uploads*, but MIF had to switch to a new server with new rules and this image facility was one casualty. As much as possible I use a laptop and I have an Imgur account. It still takes a while but it works.

Bob

* That's how I got a gif as an avatar.  I couldn't repeat what I did now, but, oddly it still works with my account.

Yes but I don't want to get involved with Imgur. Laptop? Computer? I have no money to buy these things. I live the CHECK TO CHECK lifestyle, Bob. NYC is crazy expensive.