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Question 20 - Week 7 Practice | Prasnya
Q20
00:00
24 Mar 2024
Q20.
Consider the function
f
(
x
)
=
{
3
x
(
x
+
2
)
2
,
x
≤
−
1
,
2
x
−
3
,
−
1
<
x
≤
1
,
−
8
x
+
1
,
x
>
1.
f(x)=\begin{cases}\frac{3x}{(x+2)^2}, & x\le -1,\\ 2x-3, & -1<x\le 1,\\ -\frac{8}{x+1}, & x>1.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
(
x
+
2
)
2
3
x
,
2
x
−
3
,
−
x
+
1
8
,
x
≤
−
1
,
−
1
<
x
≤
1
,
x
>
1.
Find the total number of points in
(
−
2
,
2
]
(-2,2]
(
−
2
,
2
]
at which
f
(
x
)
f(x)
f
(
x
)
is not continuous.
Your Answer
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Details
Q20
00:00
24 Mar 2024
Q20.
Consider the function
f
(
x
)
=
{
3
x
(
x
+
2
)
2
,
x
≤
−
1
,
2
x
−
3
,
−
1
<
x
≤
1
,
−
8
x
+
1
,
x
>
1.
f(x)=\begin{cases}\frac{3x}{(x+2)^2}, & x\le -1,\\ 2x-3, & -1<x\le 1,\\ -\frac{8}{x+1}, & x>1.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
(
x
+
2
)
2
3
x
,
2
x
−
3
,
−
x
+
1
8
,
x
≤
−
1
,
−
1
<
x
≤
1
,
x
>
1.
Find the total number of points in
(
−
2
,
2
]
(-2,2]
(
−
2
,
2
]
at which
f
(
x
)
f(x)
f
(
x
)
is not continuous.
Your Answer
Save
Check
Details
