Question

Given the functions a(x) = 4x2 − x + 2 and b(x) = x + 1, identify the oblique asymptote of the function a of x over the function b of x .

y = 4x + 3
y = 4x − 5
y = 0
No oblique asymptote

Answer 1

y = 4x - 5

Explanation:

(4x² - x + 2)/(x + 1)

[4x² + 4x - 5x - 5 + 7]/(x + 1)

[4x(x + 1) - 5(x + 1) + 7]/(x + 1)

4x - 5 + 7/(x + 1)

Oblique asymptote:

y = 4x - 5