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Questions  

Which of the following functions is not onto

a
f:R→R,f(x)=3x+4
b
f:R→R+,f(x)=x2+2
c
f:R+→R+,f(x)=x
d
none of these

detailed solution

Correct option is B

The function f(x)=3x+4 is onto as for y ∈R,fy−43=y The function f:R+→R+,f(x)=x is onto as for y∈R+, fy2=y⋅f:R→R+,f(x)=x2+2 is not onto as 1∈R+ has no pre-image.

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Similar Questions

Which of the following statements are incorrect?

 I. If f(x) and g(x) are one-one then f(x)+g(x) is also one-one

 II. If f(x) and g(x) are one-one then f(x)g(x) is also one-one

 III. If f(x) is odd then it is necessarily one-one. 


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