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Let f be a one-one function with domain ...

Let f be a one-one function with domain `{x,y,z}` and range `{1,2,3}`. It is given that exactly one of the following statements is true and the remaining two are false `f(X)=1, f(y)!=1 f(z)!=2` determine `f^(-1)(1)`

A

`f(x) gt f(y) gt f(z)`

B

`f(x) lt f(y) lt f(z)`

C

`f(y) lt f(x) lt f(z)`

D

`f(y) lt f(z) lt f(x)`

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 2: Mappings, Mapping of Functions, Kinds of Mapping of Functions)
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  9. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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  10. If f : R -> R be a function such that f(x) = { x|x| -4; x in Q, x|x| -...

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  11. Consider functions f and g such that composite gof is defined and is ...

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  12. If f(x)=|x-2|, where x is a real number, then, which one of the follow...

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  13. Let f : R - {n} rarr R be a function defined by f(x)=(x-m)/(x-n), wher...

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  14. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

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  15. Let A = {1, 2, 3) and B= {a,b,c}, and f= {(1, a),(2, b), (P, c)} be a...

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  16. A function f: X to Y is said to be onto, if for every y in Y there ex...

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  17. Let f be a one-one function with domain {x,y,z} and range {1,2,3}. It ...

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