Question

Help me solve the equation please. Thank you so much

Answer 1

Step-by-step explanation:

y = (1 − 3x) / (x − 2)

Set the denominator to 0.

x − 2 = 0

x = 2

There is a vertical asymptote at x = 2.

Take the limit as x approaches ∞ and -∞.

lim(x→∞) y = -3

lim(x→-∞) y = -3

There is a horizontal asymptote at y = -3.

Plug in 0 for x and y.

y = (1 − 3(0)) / (0 − 2) = -1/2

0 = (1 − 3x) / (x − 2) → x = 1/3

There is a y-intercept at (0, -1/2) and an x-intercept at (1/3, 0).