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Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a function
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
, we say
f
(
x
)
f(x)
f
(
x
)
has property I. I. If
f
(
f
(
x
)
)
=
x
f(f(x))=x
f
(
f
(
x
))
=
x
for all real numbers
x
x
x
. II. If
f
(
−
f
(
x
)
)
=
−
x
f(-f(x))=-x
f
(
−
f
(
x
))
=
−
x
for all real numbers
x
x
x
. How many linear functions have both property I and II? a. 0 b. 2 c. 3 d. Infinite
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