Find the x and yintercepts of the rational function sx 4x

Find the x- and y-intercepts of the rational function.

s(x) = 4x / x - 9

(x, y) =

(x, y) =

Solution

s(x) = 4x/(x -9)

x intercept : plug s(x) =0 and solve

4x/(x -9) =0

4x =0 ; x =0

( 0 , 0)

y intercept : plug x = 0 in s(x)

s(0) = 4*0/( 0 -9) =0

(0, 0)