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KEAM 2015 Math Paper
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© examsnet.com
Question : 22
Total: 120
The domain of the function
f
(
x
)
=
√
7
−
3
x
+
log
e
x
is
0
<
x
<
∞
7
3
≤
x
<
∞
0
<
x
≤
7
3
−
∞
<
x
<
0
−
∞
<
x
≤
7
3
Validate
Solution:
f
(
x
)
=
√
7
−
3
x
+
log
e
x
Let
g
(
x
)
=
√
7
−
3
x
and
h
(
x
)
=
log
e
x
Now, domain of
g
(
x
)
is
7
−
3
x
≥
0
⇒
x
≤
7
∕
3
and domain of h(x) is x > 0
∴ Domain of f(x)
=
Domain of
g
(
x
)
∩
Domain of
h
(
x
)
=
(
0
,
7
3
]
© examsnet.com
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