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Problem
Problem
Passage - 3 (Question. 66 to 67) Let
f
(
x
)
=
{
∣
x
∣
,
−
3
≤
x
≤
7
2
x
−
7
,
7
<
x
≤
10
f(x) = \begin{cases} |x|, & -3 \leq x \leq 7 \\ 2x-7, & 7 < x \leq 10 \end{cases}
f
(
x
)
=
{
∣
x
∣
,
2
x
−
7
,
−
3
≤
x
≤
7
7
<
x
≤
10
and
g
(
x
)
=
2
x
+
1
,
−
3
≤
x
≤
10
g(x) = 2x + 1, -3 \leq x \leq 10
g
(
x
)
=
2
x
+
1
,
−
3
≤
x
≤
10
. Range of
f
(
g
(
x
)
)
f(g(x))
f
(
g
(
x
))
is (a)
[
−
3
,
10
]
[-3, 10]
[
−
3
,
10
]
(b)
[
0
,
5
]
[0, 5]
[
0
,
5
]
(c)
[
0
,
13
]
[0, 13]
[
0
,
13
]
(d)
[
−
3
,
13
]
[-3, 13]
[
−
3
,
13
]
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