Use the rational funcion, g(x)= 2( 1 / x-1 ) + 3, to answer part a & b.

Question

Part A

Identify the vertical asymptote:

 

Part B

Identify the horizontal asymptote:

  

Answer 1

Use the rational funcion, g(x)= 2( 1 / x-1 ) + 3, to answer part a & b.

Part A

Identify the vertical asymptote:

To find vertical asymptotes you take the denominator and set it to zero

x-1 = 0

x = 1

VA: x = 1

Part B

Identify the horizontal asymptote:

To find horizontal asymptotes you have to see what value is added or subtracted to the original function (1/x) especially in this form, where you can see all the transformation.

HA: y = 3