Question

What are the x-intercepts of the equation?
$r(x) = x-1/x+4$

Answer 1

Answer:

The only x-intercept is x = 1

Step-by-step explanation:

The equation is:

$r(x)=\frac{x-1}{x+4}$

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

$r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}$

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:

$y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1$

The only x-intercept is x = 1