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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(f−1(5)).
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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)).
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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 .
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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