Curvilinear asymptote (x^4-x^2-5)/(x^2-2)?

Question

(x^4-x^2-5)/(x^2-2)

Answer 1

The rational expression is .

Let f(x) be the related function .

The function f(x), there is no possible to simplification.

The graph of f(x) had vertical asymptotes at the zeros of denominator or D(x).

.

Because the degree of the numerator or N(x), 4 is greater than the degree of the denominator or D(x), 2 ; the graph of f(x) no horizontal asymptote. So, the function has slant (or oblique).

To find the equation of a slant asymptote, use long division.

The asymptotes are .