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Which of the following function from Z t...

Which of the following function from Z to itself are bijections?

A

`f(x)=x^3`

B

`f(x)=x+2`

C

`f(x)=2x+1`

D

`f(x)=x^2+x`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Clearly, `f(x)` must be `x+2` as for this function, each image has its preimage and each image has one and only one preimage.
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