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.
If and are both onto, is also onto? Justify your answer.
If are both onto functions, then whether is onto function or not.
The functions are both onto functions.
A function is said to be onto if, for every , there exists such that .
Consider that be two onto functions.
Objective is to determine that is onto or not.
Claim: The function is not necessarily onto.
For this consider, the function defined by,
Then, clearly these two functions are onto
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