+0  
 
0
32
1
avatar

What are the equations of the asymptotes of the graph of f(x)= 3/x-2 +9

 
Guest Jan 12, 2018

Best Answer 

 #1
avatar+5924 
+1

What are the equations of the asymptotes of the graph of  \(f(x)=\frac{3}{x-2}+9\)

 

Set the denominator equal to zero to find the equation of an asymptote.

 

x - 2  =  0

x  =  2

 

To find the other asymptote, let's first solve for  x .

 

y  =   3 / (x - 2) + 9

y - 9   =   3 / (x - 2)

(x - 2)(y - 9)   =   3

x - 2   =   3 / (y - 9)

x  =   3 / (y - 9) + 2

 

Now set this denominator equal to zero to find the equation of the other asymptote.

 

y - 9  =  0

y  =  9

 
hectictar  Jan 12, 2018
edited by hectictar  Jan 12, 2018
Sort: 

1+0 Answers

 #1
avatar+5924 
+1
Best Answer

What are the equations of the asymptotes of the graph of  \(f(x)=\frac{3}{x-2}+9\)

 

Set the denominator equal to zero to find the equation of an asymptote.

 

x - 2  =  0

x  =  2

 

To find the other asymptote, let's first solve for  x .

 

y  =   3 / (x - 2) + 9

y - 9   =   3 / (x - 2)

(x - 2)(y - 9)   =   3

x - 2   =   3 / (y - 9)

x  =   3 / (y - 9) + 2

 

Now set this denominator equal to zero to find the equation of the other asymptote.

 

y - 9  =  0

y  =  9

 
hectictar  Jan 12, 2018
edited by hectictar  Jan 12, 2018

16 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details