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Problem
Problem
If
f
:
R
→
R
f: R \rightarrow R
f
:
R
→
R
be a function such that
f
(
x
)
=
{
x
∣
x
∣
−
4
;
x
∈
Q
x
∣
x
∣
−
3
;
x
∉
Q
f(x) = \begin{cases} x|x| - 4 & ; x \in Q \\ x|x| - \sqrt{3} & ; x \notin Q \end{cases}
f
(
x
)
=
{
x
∣
x
∣
−
4
x
∣
x
∣
−
3
;
x
∈
Q
;
x
∈
/
Q
, then
f
(
x
)
f(x)
f
(
x
)
is (a) one-one, onto (b) many one, onto (c) one-one, into (d) many one, into
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