Question

Which of the following functions have inverse defined on the ranges:

Solution

Correct option is

 & 

We know that only one-one onto functions are inversible. In (a), it is not one-one and hence not inversible. In (b) and (c) both are one-one onto and both are inversible. Since 

-one.

SIMILAR QUESTIONS

Q1

Find range for 

Q2

Find period of 

Q3

Suppose 

graph is the reflection of the graph of 

to the line y = x, then g (x) equals

Q4

then  is both one-one and onto when B is the interval:

Q5

If f (x) = cos (log x) , then

 has the value

Q6

The graph of the function 

Q7

     

Then for all 

Q8

 

 

Q9

Is equal to

Q10

 be to functions given by