@Chirag_Hegde Bro what I mean is that f inverse b willl surely exist but for this fumction it may not be defined i.e. b may not be in the range of f(x)
Bro it should be in the range as in the question they have stated that fir c belonging to X there exists y such that f(c)=y
Yeah I think I misunderstood something you are correct maybe
Just confirm the answer sir @Hari_Shankar @Jagdish_Singh
For this question I think after this the method goes too long ... I hope there's some short trick
Option C is right as any pre-image as one and only one image.
Option D is not necessarily correct as f(C) is the set of images of C. But the set of pre-images corresponding to f(C) may be much larger than C
Is it D?
I have seen this ques 2 times 1 in rrb and 1 in gmp
In gmp there is misprint
What's the misprint bro?
And please can you solve this one on paper ?
Fx>0 is misprint otherwise b,d both can be answer
Right now I m busy ,will do it later
See it is evident that
f(x) = x for all x>0
f(x)=x/3 for all x <0
But in the options whether x is +ve or -ve has not been mentioned. hence we cannot verify them.
The correct question is given by yash
@Chirag_Hegde what's your doubt basically ?
Ah got it