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Question 27 - Week 7 Practice | Prasnya
Q27
00:00
3 Dec 2023
Q27.
Consider a function
f
f
f
defined as
f
(
x
)
=
{
3
m
x
+
n
,
x
<
1
,
11
,
x
=
1
,
5
m
x
−
2
n
,
x
>
1.
f(x)=\begin{cases}3mx+n, & x<1,\\ 11, & x=1,\\ 5mx-2n, & x>1.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
3
m
x
+
n
,
11
,
5
m
x
−
2
n
,
x
<
1
,
x
=
1
,
x
>
1.
If
f
f
f
is continuous at
x
=
1
x=1
x
=
1
, then find the value of
m
+
n
m+n
m
+
n
.
Your Answer
Save
Check
Details
Q27
00:00
3 Dec 2023
Q27.
Consider a function
f
f
f
defined as
f
(
x
)
=
{
3
m
x
+
n
,
x
<
1
,
11
,
x
=
1
,
5
m
x
−
2
n
,
x
>
1.
f(x)=\begin{cases}3mx+n, & x<1,\\ 11, & x=1,\\ 5mx-2n, & x>1.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
3
m
x
+
n
,
11
,
5
m
x
−
2
n
,
x
<
1
,
x
=
1
,
x
>
1.
If
f
f
f
is continuous at
x
=
1
x=1
x
=
1
, then find the value of
m
+
n
m+n
m
+
n
.
Your Answer
Save
Check
Details
