KVPY Sample Paper KVPY Stream-SX Model Paper-28

Let f(x) and g (x) be bijective functions where \[f:\{a,b,c,d\}\to \{1,2,3,4\}\]\[g:\left\{ 3,4,5,6 \right\}\to \left\{ w,x,y,z \right\}\] respectively. The number of elements in the range set of \[g\text{ }\left( f\left( x \right) \right)\] are

A) 1

B) 2

C) 3

D) 4

Correct Answer: B

Solution :

Range of \[f\left( x \right)\]for which \[g\left( f\left( x \right) \right)\] is denned is \[\left\{ 3,4 \right\}\]

Hence domain of \[g\left( f\left( x \right) \right)\] has two elements.

\[\therefore \] Range of \[g\left( f\left( x \right) \right)\] also has two elements.