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Which of the following is an odd function ? 

  • Option 1)

    log(x+\sqrt{x^2-1})

  • Option 2)

    log x

  • Option 3)

    e^x

  • Option 4)

    10^x

 

Answers (1)

best_answer

As we have learned

Odd Function -

f(-x)= -f(x)

- wherein

Symmetric about origin

 

 If f(x)= log (x+\sqrt{x^2-1})

f(-x)= log (x-\sqrt{x^2-1})

=log\frac{1}{(x+(\sqrt{x^2-1}))}= -log (x+\sqrt{x^2-1})

 


Option 1)

log(x+\sqrt{x^2-1})

Option 2)

log x

Option 3)

e^x

Option 4)

10^x

Posted by

Himanshu

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