Exercise 36 and 37 use the following definition: If and are functions, then the function is defined by the formula for every real number x.
are both one-to-one, is also one-to-one? Justify your answer.
If are both one-to-one, then whether is one-to-one or not.
are one-to-one functions.
In one-to-one function, distinct elements in domain are mapped with distinct elements in co-domain.
Now to show that the functions are both one-to-one.
By the definition of one-to-one function, is one-to-one.
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