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Mathematics
Mathematics
Problem
Find the domain and range of functions: a.
f
(
x
)
=
ln
2
x
−
ln
x
+
1
f(x) = \ln^2 x - \ln x + 1
f
(
x
)
=
ln
2
x
−
ln
x
+
1
b.
f
(
x
)
=
x
4
−
4
x
2
+
1
f(x) = x^4 - 4x^2 + 1
f
(
x
)
=
x
4
−
4
x
2
+
1
c.
f
(
x
)
=
ln
(
x
2
−
2
x
+
3
)
f(x) = \ln(x^2 - 2x + 3)
f
(
x
)
=
ln
(
x
2
−
2
x
+
3
)
d.
f
(
x
)
=
e
2
x
−
16
e
x
+
8
f(x) = e^{2x} - 16e^x + 8
f
(
x
)
=
e
2
x
−
16
e
x
+
8
e.
f
(
x
)
=
1
x
2
−
x
f(x) = \frac{1}{\sqrt{x^2 - x}}
f
(
x
)
=
x
2
−
x
1
f.
f
(
x
)
=
x
+
1
x
f(x) = x + \frac{1}{x}
f
(
x
)
=
x
+
x
1
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