Let f (x) And G(x) Be Bijective Function Where f :{a, B, C, D}{1, 2, 3, 4}and G:{3, 4, 5, 6}{w, X, Y, Z) Respectively. The Number Of Elements In The Range Set Of G(f (x)) Is

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Question

Let (x) and g(x) be bijective function where :{a, b, c, d}{1, 2, 3, 4}and g:{3, 4, 5, 6}{w, x, y, z) respectively. The number of elements in the range set of g(f (x)) is

Solution

Correct option is

2

Range of f(x) for which g(f(x) is defined is {3, 4}

Hence domain of g(f(x) has two elements.

Testing

SIMILAR QUESTIONS

Q1

The natural domain of 

Q2

The domain of the function

                   

Q3

Then its domain is given by

Q4

Domain of definition of the function

            

Q5
Q6

The domain of definition of the function y (x) given by the equation 

Q7

Range of 

Q8

The period of   is

Q9

If (x) and g(x) be periodic and non-periodic function respectively, then f(g(x)) is

 

Q10

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x) = q(p(x). Then p(x) is