Another Direct and Inverse Variation Functions Question

Geometry Level 1

Given that y = 1 x − 1 y = \frac 1{x-1} , find the domain of x x .

x < 1 x<1 x = 1 x=1 x > 1 x>1 x ≠ 1 x \ne 1

Isabella Yan by Isabella Yan , 19, China

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3 solutions

Isabella Yan
Feb 27, 2015

if x=1... 1-1=0 There's no such thing called 'any number/0'!

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Max Higgins
Jun 12, 2021

This is really easy. You can't divide by zero, so you have to ask yourself: What can I put for the variable X that makes the denominator equal to zero? So, you set the bottom not equal to zero and then you add 1 to both sides. It then tells you that X can't be equal to 1. Hope this helped!

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Parth Panchal
Apr 23, 2015

In the equation For x=1 , denominator becomes 0 thus it becomes undefined in Real Number System (R) & For any other value of x except 1 we get value of y . Thus the solution set is R - {1}

0 Helpful 0 Interesting 0 Brilliant 3 Confused

Thus the solution set is R - {1} why?

Mr. Ryan - 2 years, 4 months ago

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