Question

Identify the oblique asymptote of f(x) = quantity x plus 4 over quantity 3 x squared plus 5 x minus 2.

y = 3x − 7
y = 3x + 17
y = 0
No oblique asymptote

Answer 1

No oblique asymptote

Explanation:

The given function is

`f(x)=(x+4)/(3x^2+5x-2)`

The highest degree of the polynomial in the numerator is less than the highest degree of the polynomial in the denominator.

A rational function that has this property is a proper rational function and hence does not have an oblique asymptote.

See graph in attachment.