Let  Where g Is A Continuous Function. Then  exists If

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Question

Let 

where g is a continuous function. Then  exists if

Solution

Correct option is

g(x) = 

    and 

   Hence

   exists if g(x) = x or g(x) = .

If g(x) = athen  and 

Thus  doesn’t exist in this case.

Testing

SIMILAR QUESTIONS

Q1

 is equal to

Q2

 is equal to

Q3

 is equal to

Q4

 

The value of f(0) so that the function

          

is continuous at each point in its domain, is equal to

Q5

 

Let 

The values of A and B so that f(x) is continuous everywhere are

Q6

 

Let 

The value which should be assigned to f at x = a so that it is continuous everywhere is

 

Q7

The number of points at which the function f(x) = 1/log |x| is discontinuous is

Q8

For  R, 

Q9

The value of a for which  tends to a finite limit as  is

Q10

The value of  is