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Problem
Problem
If
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
are two positive and increasing functions, then a.
(
f
(
x
)
)
g
(
x
)
(f(x))^{g(x)}
(
f
(
x
)
)
g
(
x
)
is always increasing b. if
(
f
(
x
)
)
g
(
x
)
(f(x))^{g(x)}
(
f
(
x
)
)
g
(
x
)
is decreasing, then
f
(
x
)
<
1
f(x) < 1
f
(
x
)
<
1
c. if
(
f
(
x
)
)
g
(
x
)
(f(x))^{g(x)}
(
f
(
x
)
)
g
(
x
)
is increasing, then
f
(
x
)
>
1
f(x) > 1
f
(
x
)
>
1
d. if
f
(
x
)
>
1
f(x) > 1
f
(
x
)
>
1
, then
(
f
(
x
)
)
g
(
x
)
(f(x))^{g(x)}
(
f
(
x
)
)
g
(
x
)
is increasing
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