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Question

If a function f(x) is defined on [1,4]  [1,7]  and given that f(3)  = 5 and its inverse exists then find   f(f1(5)).


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Solution

We are given that f(3) = 5, according to the definition of inverse we can say  f1(5) = 3.

We have to find   f (f1(5))

f (f1(5)) =   f (3)   [ as f1(5) = 3 ]

f(3)  = 5   [given]

so, f (f1(5))  = 5 .

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