Question

At what value of x does the graph of the following function F(x) have a

vertical asymptote?
F(x)= 3x/4x-4

A. 4
B. -1
C. 0
D. 1

Answer 1

D

Explanation:

F(x) =
`(3x)/(4x-4)`

the denominator cannot be zero as this would make F(x) undefined

to find the value that x cannot be, equate the denominator to zero and solve for x and if this value of x makes the numerator non zero , then it is a vertical asymptote

4x - 4 = 0 ( add 4 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

the x = 1 is the vertical asymptote