Question

At what value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=1/x+3

a. 3
b. -2
c. 0
d. -3

Answer 1

d

Explanation:

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.

x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote