Let f(x) and g(x) be bijective functions 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)) are
Answer & explanation
Correct answer: option 2
$f : \{a, b, c, d\} → \{1, 2, 3 ,4\}$ and $g: \{3 ,4, 5 ,6\} → \{w, x ,y ,z\}$
$g(f(x))$ only 3 and 4 are valid inputs for $g$
⇒ only two outputs obtained
elements in range = 2