199k views
2 votes
Identify the oblique asymptote of f(x)=x+4/3x^2+5x-2

1 Answer

1 vote

Answer:

No oblique asymptote

Explanation:

To find the oblique asymptote of f(x)


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

Here numerator has degree 1 and denomintor degree 2

Degree of numerator < Degree of denominator

Hence there is no oblique asymptote

When the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly, giving us a horizontal asymptote of the x-axis. Or we can write

f(x) = a polynomial of x + a proper fraction.

In this case only we have oblique asymptotes but not when numerator has less degree.

User Kumar Santanu
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories