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Mathematics
Mathematics
Problem
The range of a function
f
(
x
)
=
tan
−
1
{
log
5
/
4
(
5
x
2
−
8
x
+
4
)
}
f(x) = \tan^{-1} \{\log_{5/4}(5x^2 - 8x + 4)\}
f
(
x
)
=
tan
−
1
{
lo
g
5/4
(
5
x
2
−
8
x
+
4
)}
is a.
(
−
π
4
,
π
2
)
\left(\frac{-\pi}{4}, \frac{\pi}{2}\right)
(
4
−
π
,
2
π
)
b.
[
−
π
4
,
π
2
)
\left[\frac{-\pi}{4}, \frac{\pi}{2}\right)
[
4
−
π
,
2
π
)
c.
(
−
π
4
,
π
2
]
\left(\frac{-\pi}{4}, \frac{\pi}{2}\right]
(
4
−
π
,
2
π
]
d.
[
−
π
4
,
π
2
]
\left[\frac{-\pi}{4}, \frac{\pi}{2}\right]
[
4
−
π
,
2
π
]
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