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Let f(x) and g(x) be bijective functions...

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

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To solve the problem, we need to find the number of elements in the range set of the composite function \( g(f(x)) \), given that both \( f \) and \( g \) are bijective functions. ### Step-by-Step Solution: 1. **Identify the Functions**: - The function \( f \) maps from the set \( \{a, b, c, d\} \) to \( \{1, 2, 3, 4\} \). - The function \( g \) maps from the set \( \{3, 4, 5, 6\} \) to \( \{w, x, y, z\} \). ...
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