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(f−1(5)). __

Solution

## We are given that f(3) = 5, according to the definition of inverse we can say  f−1(5) = 3. We have to find   f (f−1(5)) f (f−1(5)) =   f (3)   [ as f−1(5) = 3 ] f(3)  = 5   [given] so, f (f−1(5))  = 5 .

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