Options...
f
(
x
)
=
{
2
x
+
1

i
f

x
≤
1
}
f
(
x
)
=
{
2
x
+
1

x
≤
1
}
                
{
x
2
−
4

i
f

x
>
1
}
{
x
2
-
4

x
>
1
}

sheet me don't know my friend

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.