Question

Checkkk my work?(:

Identify the oblique asymptote of f(x) = quantity x plus 4 over quantity 3 x squared plus 5 x minus 2
I got y = 3x - 7

Answer 1

There is no oblique asymptote

Explanation:

Oblique asymptote case arises when degree of numerator is greater than denominator

Here, we have given the expression
`(x+4)/(3x^2+5x-2)`

Here, degree of numerator is less than denominator

Hence, no oblique asymptote.

The expression should be
`(3x^2+5x-2)/(x+4)` to get the oblique asymptote.

Answer 2

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

since the degree of the numerator is less than the degree of the denominator, it has no oblique asymptote.