My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
August 3rd, 2016, 09:59 AM   #1
Member
 
Joined: Jul 2016
From: Usa

Posts: 59
Thanks: 3

How to simplify this?

This is the problem
((1/x+h-1)-(1/x-1))/h.
Pete23 is offline  
 
August 3rd, 2016, 10:12 AM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,657
Thanks: 2635

Math Focus: Mainly analysis and algebra
${{1 \over x+h-1}-{1 \over x-1} \over h}$?
You should make sure that you use parenthesis properly in writing out your problems.

I would start by performing the subtraction in the numerator.

What have you tried? How far did you get?
v8archie is offline  
August 3rd, 2016, 10:40 AM   #3
Member
 
Joined: Jul 2016
From: Usa

Posts: 59
Thanks: 3

Quote:
Originally Posted by v8archie View Post
${{1 \over x+h-1}-{1 \over x-1} \over h}$?
You should make sure that you use parenthesis properly in writing out your problems.

I would start by performing the subtraction in the numerator.

What have you tried? How far did you get?
So I was given f(x)= 1/x-1 find in simplest terms (f(x+h)-f(x))/h.
I got to (x-1)-(x+h-1)/(x+h-1)(x-1) as the numerator.
Pete23 is offline  
August 3rd, 2016, 11:11 AM   #4
Senior Member
 
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

Quote:
Originally Posted by Pete23 View Post
So I was given f(x)= 1/x-1 find in simplest terms (f(x+h)-f(x))/h.
I got to (x-1)-(x+h-1)/(x+h-1)(x-1) as the numerator.
I am still not sure whether you mean $f(x) = \dfrac{1}{x} - 1$ or $f(x) = \dfrac{1}{x - 1}.$

Assuming the latter

$f(x + h) = \dfrac{1}{x + h - 1}.$

So $f(x + h) - f(x) = \dfrac{1}{x + h - 1} - \dfrac{1}{x - 1} = \dfrac{(x - 1) - (x + h - 1)}{(x + h - 1)(x - 1)} = \dfrac{-\ h}{(x + h - 1)(x - 1)}.$

Now what?

Last edited by JeffM1; August 3rd, 2016 at 11:13 AM.
JeffM1 is offline  
August 3rd, 2016, 11:34 AM   #5
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,657
Thanks: 2635

Math Focus: Mainly analysis and algebra
Quote:
Originally Posted by Pete23 View Post
I got to (x-1)-(x+h-1)/(x+h-1)(x-1) as the numerator.
Good. You are nearly there. Simplify the numerator of that, and then divide by $h$ (your original denominator).
v8archie is offline  
August 3rd, 2016, 11:51 AM   #6
Member
 
Joined: Jul 2016
From: Usa

Posts: 59
Thanks: 3

Quote:
Originally Posted by v8archie View Post
Good. You are nearly there. Simplify the numerator of that, and then divide by $h$ (your original denominator).
Is the numerator just 1?
Pete23 is offline  
August 3rd, 2016, 12:24 PM   #7
Senior Member
 
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

Quote:
Originally Posted by Pete23 View Post
Is the numerator just 1?
When you simplify $(x + 1) - (x + h - 1)$ you get MINUS h.

So the numerator when you divide by h is MINUS 1.
JeffM1 is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
simplify



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Simplify (2a+b)/(a^2-ab)-(2b+a)/(ab-b^2) Chikis Algebra 7 July 10th, 2014 07:15 PM
simplify mared Algebra 1 July 10th, 2014 07:36 AM
how to simplify this ineedhelpnow Algebra 2 July 10th, 2014 05:30 AM
Simplify 1/(m-1)+9/(2m+3)-8/(m+4) Chikis Algebra 2 July 9th, 2014 11:33 PM
How to simplify this Ronaldo Complex Analysis 1 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.