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Mathematics
Mathematics
Problem
Domain of the explicit form of the function
y
y
y
represented implicitly by the equation
(
1
+
x
)
cos
y
−
x
2
=
0
(1+x)\cos y - x^2 = 0
(
1
+
x
)
cos
y
−
x
2
=
0
is: (a)
(
−
1
,
1
]
(-1, 1]
(
−
1
,
1
]
(b)
(
−
1
,
1
−
5
2
]
\left(-1, \frac{1-\sqrt{5}}{2}\right]
(
−
1
,
2
1
−
5
]
(c)
[
1
−
5
2
,
1
+
5
2
]
\left[\frac{1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2}\right]
[
2
1
−
5
,
2
1
+
5
]
(d)
[
0
,
1
+
5
2
]
\left[0, \frac{1+\sqrt{5}}{2}\right]
[
0
,
2
1
+
5
]
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