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Question 9 - Week 7 Practice | Prasnya
Q9
00:00
1 Dec 2024
Q9.
If the function
f
(
x
)
=
{
A
x
−
B
,
x
≤
−
1
,
2
x
2
+
3
A
x
+
B
,
−
1
<
x
≤
1
,
4
,
x
>
1
f(x)=\begin{cases}Ax-B, & x\le-1,\\ 2x^2+3Ax+B, & -1<x\le1,\\ 4, & x>1\end{cases}
f
(
x
)
=
⎩
⎨
⎧
A
x
−
B
,
2
x
2
+
3
A
x
+
B
,
4
,
x
≤
−
1
,
−
1
<
x
≤
1
,
x
>
1
is continuous for all
x
∈
R
x\in\mathbb{R}
x
∈
R
, then find the value of
6
(
A
+
B
)
6(A+B)
6
(
A
+
B
)
.
Your Answer
Save
Check
Details
Q9
00:00
1 Dec 2024
Q9.
If the function
f
(
x
)
=
{
A
x
−
B
,
x
≤
−
1
,
2
x
2
+
3
A
x
+
B
,
−
1
<
x
≤
1
,
4
,
x
>
1
f(x)=\begin{cases}Ax-B, & x\le-1,\\ 2x^2+3Ax+B, & -1<x\le1,\\ 4, & x>1\end{cases}
f
(
x
)
=
⎩
⎨
⎧
A
x
−
B
,
2
x
2
+
3
A
x
+
B
,
4
,
x
≤
−
1
,
−
1
<
x
≤
1
,
x
>
1
is continuous for all
x
∈
R
x\in\mathbb{R}
x
∈
R
, then find the value of
6
(
A
+
B
)
6(A+B)
6
(
A
+
B
)
.
Your Answer
Save
Check
Details
