Finding Equation of Rational Function

[Veronica_Oles]

Homework Statement

Must find equation meeting these requirements:
1. Hole at x=5
2. Vertical Asymptote at x= 0
3. Horiztonal Asymptote at g(x) = 2
4. Y-int at (-1.5, 0)

Homework Equations

The Attempt at a Solution

I know that there must be an (x-5) in both the numerator and denominator due to the hole in the graph. I know that there is an x in the denominator due to the vertical asymptote. And since the degree's have to be even (from top and bottom numerator and denominator) due to the the horizontal asymptote, there has to be a value of 2 in the numerator. Howevere now I am confused where the y-int comes into th equation?

 

[Mark44]

Homework Statement

Must find equation meeting these requirements:
1. Hole at x=5
2. Vertical Asymptote at x= 0
3. Horiztonal Asymptote at g(x) = 2
4. Y-int at (-1.5, 0)

There is either an error in the problem you were given or you have copied it incorrectly. The point (-1.5, 0) is an x-intercept, not a y-intercept.

Homework Equations

The Attempt at a Solution

I know that there must be an (x-5) in both the numerator and denominator due to the hole in the graph. I know that there is an x in the denominator due to the vertical asymptote. And since the degree's have to be even (from top and bottom numerator and denominator) due to the the horizontal asymptote, there has to be a value of 2 in the numerator. Howevere now I am confused where the y-int comes into th equation?

 

[Veronica_Oles]

There is either an error in the problem you were given or you have copied it incorrectly. The point (-1.5, 0) is an x-intercept, not a y-intercept.

Okay that's good to know. The problem given was written like how I wrote it, meaning problem is flawed.