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Question

Mathematics Question on Sets

Which of the following functions are one-one and onto ?

A

f:RR,f(x)=sinxf:R\rightarrow R,f(x)=\sin\,x

B

f:R+R,f(x)=2x+1f:R^+\rightarrow R,f(x)=2\sqrt x+1

C

f:[0,π][1,1],f(x)=xf:[0,\pi]\rightarrow [-1,1],f(x)=x

D

none of these

Answer

f:[0,π][1,1],f(x)=xf:[0,\pi]\rightarrow [-1,1],f(x)=x

Explanation

Solution

Answer (c) f:[0,π][1,1],f(x)=xf:[0,\pi]\rightarrow [-1,1],f(x)=x