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  • Please,please help me Which of the following functions are one - one functions ?

Which of the following functions are one - one functions ? 

  • Option 1)

    \sin \left ( \cos x \right )

  • Option 2)

    \cos \left ( \sin x \right )

  • Option 3)

    \sin \left ( \tan x \right )

  • Option 4)

    none of these.

 

Answers (1)

best_answer

As we learned 

 

One - One or Injective function -

A function in which every element of range of function corresponds to exactly one elements.

- wherein

A line parallel to x - axis cut the curve at most one point.

 

 In case of composite functions 

If both f(x) and g(x) are one one functions the fog = gof are one one functions. 

 


Option 1)

\sin \left ( \cos x \right )

Option 2)

\cos \left ( \sin x \right )

Option 3)

\sin \left ( \tan x \right )

Option 4)

none of these.

Posted by

Himanshu

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