Question

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

Answer 1

`"both intercepts "=0`

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]}