Question

What is the equation for the vertical asymptote of the function shown below?

Answer 1

Answer:

х = 5/2

Step-by-step explanation:

Vertical Asymptote is when the denominator = 0

F(x) = $\frac{3x^{4}-3}{2x-5}$

2x-5 = 0

2x = 5

x = 5/2

Answer 2

Answer:

B

Step-by-step explanation:

Given

f(x) = $\frac{3x^4-3}{2x-5}$

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

Solve 2x- 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

Thus x = $\frac{5}{2}$ ← is the equation of the vertical asymptote