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Let g(x)=1+x-[x] "and ...

Let g(x)=1+x-[x]
`"and " f(x)={{:(-1","x lt 0),(0","x=0),(1","x gt 0):}`
Then, for all x, find f(g(x)).

A

x

B

1

C

f(x)

D

g(x)

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
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  5. If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals

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  13. Let g(x)=1+x-[x] "and " f(x)={{:(-1","x l...

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  14. If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...

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