Question

What are the x-intercepts of the equation?

`r(x) = x-1/x+4`

Answer 1

The only x-intercept is x = 1

Explanation:

The equation is:

`r(x)=(x-1)/(x+4)`

We can substitute y for r(x), to write in the notation:

`r(x)=(x-1)/(x+4)\\y=(x-1)/(x+4)`

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

`y=(x-1)/(x+4)\\0=(x-1)/(x+4)\\0(x+4)=x-1\\0=x-1\\x=1`

The only x-intercept is x = 1