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Which of the following function is an into function in the codomain of all real numbers ?

  • Option 1)

    f(x)= tan x 

  • Option 2)

    f(x) = cot x

  • Option 3)

    f(x)= e^x

  • Option 4)

    f(x) = lnx

 

Answers (1)

best_answer

As we have learned

Into function -

If function A\rightarrowB is such that there is atleast one element in B which is not f image of any element in A.

- wherein

Range of f is proper subset of Co - domain of f

 

 

Domain of this function = R

co domain = R ; but range = R^+

Thus it is an onto funtion

 

 

 

 


Option 1)

f(x)= tan x 

Option 2)

f(x) = cot x

Option 3)

f(x)= e^x

Option 4)

f(x) = lnx

Posted by

Himanshu

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