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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 f−1(f(5)) is
If a function f(x) is defined on [1,4]→[1,7] and given that f(3) = 5 and its inverse exists, then f−1(f(5)) is
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Solution
The correct option is C not defined
In the given problem we have to find f−1(f(5)). If we look at the definition of given function it is defined on f: [1,4] → [1,7]. The domain of f doesn’t have ‘5’ in it or we can say f(5) doesn’t exist. So f−1 ( f (5) ) also doesn’t exist.
In the given problem we have to find f−1(f(5)). If we look at the definition of given function it is defined on f: [1,4] → [1,7]. The domain of f doesn’t have ‘5’ in it or we can say f(5) doesn’t exist. So f−1 ( f (5) ) also doesn’t exist.
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