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Prove that the function f:R->R given …

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Prove that the function f:R->R given by f(x)=2x is one one and onto? Explain briefly

Posted by Pardeep Choudhary 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Ritesh Chakraborty 6 years, 3 months ago

For one one let us consider that f(x1) =f(x2) Now 2x1=2x2(note 2 is only to show the difference it has no work and X, is alphabetically) Thus when we divide we get X1=X2. Thus it is one one function The one to will be a very big process... It can't be written here although in theory it's is onto because if we multiply and R number with 2x we get the any number belongs to R... So thus in this case Range=Codomain Therefore it is onto

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