# How do you find the x and y intercepts for #R(x) = (3x) / (x^2 - 9)#?

##### 1 Answer

Mar 15, 2017

#### Answer:

#### Explanation:

To find the intercepts.

#• " substitute x = 0, in R(x), for y- intercept"#

#• " substitute y = 0, in R(x), for x-intercept"#

#x=0toR(0)=0/(0-9)=0/(-9)=0larrcolor(red)" y-intercept"# The denominator of R(x) cannot be zero as this would make R(x) undefined. The numerator can, however, equal zero.

#y=0to3x=0tox=0larrcolor(red)" x-intercept"# That is R(x) passes through the origin (0 ,0)

graph{(3x)/(x^2-9) [-10, 10, -5, 5]}