Find the aymptotes of gx 3x44x6x42 1y 0 2x 2 3x 2 y 3 4

Find the aymptotes of g(x) = 3x^4-4x+6/x^4+2 1.y = 0 2.x = -2 3.x = -2, y = 3 4.none of these 5.y = 2 6.y = 3 7.x = -2, x = 2

For Vertical Assymptotes, denominator = 0

=> x^4 + 2 = 0

=> x^4 = -2 (Not possible)

For Horizontal Assymptotes, let x = INF and x=-INF

[lim x-> INF] g(x)

= [lim x-> INF] (3x^4 - 4x + 6) / (x^4 + 2)

= 3

---

[lim x-> -INF] g(x)

= [lim x-> -INF] (3x^4 - 4x + 6) / (x^4 + 2)

= 3

y = 3 is an assymptote.

Option 6