+0  
 
0
259
1
avatar+644 

Suppose the domain of f is (-1,1). Define the function j by j(x)=f(1/x). What is the domain of j?

waffles  Oct 25, 2017
 #1
avatar+89953 
+2

  We have that the domain of f(x) is

 

- 1  < x <  1

 

Then the domain of  f ( 1/x)  is

 

-1  <  1/x  <  1    

 

-1 < 1/x       this will be true when  x < -1  and  x > 0

 

And

 

1/x < 1       this will be true when      x > 1

 

So.....we need to take the most restrictive interval(s)  in our solution

 

So the domain of  f (1/x)  is    ( - inf, -1)  U ( 1, inf )  = domain of j(x)

 

 

cool cool cool

CPhill  Oct 25, 2017
edited by CPhill  Oct 25, 2017

9 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.