Mathematics

Problem

Let

f(x)=\dfrac{(x-4)(x+1)}{(x-4)(x-2)}

for all real

x

in its domain. Which of the following best describes the behaviour of

f

x=4

? a)

x=4

is in the domain and

f(4)=\dfrac{5}{2}

. (The function is defined there). b)

x=4

is excluded from the domain and the graph has a hole at that

x

-value. c)

x=4

is excluded from the domain and the graph has a vertical asymptote at that

x

-value." d)

x=4

is excluded from the domain and the graph has a hole at

(4,0)