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MATHEMATICS · Single correct · AoPS · Mathematics · Functions · Functions
Problem
If
f
(
x
)
=
1
−
x
1
+
x
f(x)=\frac{1-x}{1+x}
f
(
x
)
=
1
+
x
1
−
x
, then
f
[
f
(
cos
2
θ
)
]
=
f[f(\cos2\theta)]=
f
[
f
(
cos
2
θ
)]
=
(1)
tan
2
θ
\tan2\theta
tan
2
θ
(2)
sec
2
θ
\sec2\theta
sec
2
θ
(3)
cos
2
θ
\cos2\theta
cos
2
θ
(4)
cot
2
θ
\cot2\theta
cot
2
θ
Related theory
Composition of Functions
Functions
Algebra of functions
Relations and Functions
Exponential and Logarithmic Functions
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