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Question

Let A = {1, 2} and B = {3, 6} and f and g be functions from A to B, defined by f(x) = 3x and g(x) = x2 + 2. Show that f = g.
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Solution

Since both f and g are defined fromset ATherefore, domain (f)=domain (g)Now, for the co−domain of f(1)=3×1=3f(2)=3×2=6Co−domain of f={3,6}
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And the co−domain of g:g(1)=12+2=3g(2)=22+2=6Co−domain of g={3, 6}Co−domain of f=Co−domain of g for each x∈AHence f(x)=g(x) for each x∈A
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