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Mathematics
Mathematics
Problem
If two roots of the equation
(
p
−
1
)
(
x
2
+
x
+
1
)
2
−
(
p
+
1
)
(
x
4
+
x
2
+
1
)
=
0
(p-1)(x^2 + x + 1)^2 - (p+1)(x^4 + x^2 + 1) = 0
(
p
−
1
)
(
x
2
+
x
+
1
)
2
−
(
p
+
1
)
(
x
4
+
x
2
+
1
)
=
0
are real and distinct and
f
(
x
)
=
1
−
x
1
+
x
f(x) = \frac{1-x}{1+x}
f
(
x
)
=
1
+
x
1
−
x
, then
f
(
f
(
x
)
)
+
f
(
f
(
1
x
)
)
f(f(x)) + f\left(f\left(\frac{1}{x}\right)\right)
f
(
f
(
x
))
+
f
(
f
(
x
1
)
)
is equal to a.
p
p
p
b.
−
p
-p
−
p
c.
2
p
2p
2
p
d.
−
2
p
-2p
−
2
p
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