Identify the excluded value for each rational function

Question

F(x)=19+x/x-5

Answer 1

F(x) = (19 + x) / (x - 5)

 

 

The excluded value is the x value where the graph does not exist.

 

To find the exclude value, set the denominator equal to zero.

 

x - 5 = 0

 

Solve for x.

 

x = 5

 

 

This means that 5 is the excluded value and is also a vertical asymptote.  A vertical asymptote is a vertical line in a coordinate systems that the graph gets closer to, but never ever touches.