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A condition for a function y = f (x) to have an inverse is that it should be
- a)an even function
- b)defined for all x
- c)strictly monotone and continuous in the domain
- d)continuous every where
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A condition for a function y = f (x) to have an inverse is that it sho...
For a function to have its inverse in a given domain, it should be continuous in that domain and should be a one-one function in that domain.
If the function is one-one in the domain, then it has to be strictly monotonic.
For example y=sin(x) has its domain in xϵ[−π/2,π/2] since it is strictly monotonic and continuous in that domain.
If the function is one-one in the domain, then it has to be strictly monotonic.
For example y=sin(x) has its domain in xϵ[−π/2,π/2] since it is strictly monotonic and continuous in that domain.
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A condition for a function y = f (x) to have an inverse is that it sho...
For a function to have its inverse in a given domain, it should be continuous in that domain and should be a one-one function in that domain.
If the function is one-one in the domain, then it has to be strictly monotonic.
For example y=sin(x) has its domain in xϵ[−π/2,π/2] since it is strictly monotonic and continuous in that domain.
If the function is one-one in the domain, then it has to be strictly monotonic.
For example y=sin(x) has its domain in xϵ[−π/2,π/2] since it is strictly monotonic and continuous in that domain.
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A condition for a function y = f (x) to have an inverse is that it should bea)an even functionb)defined for all xc)strictly monotone and continuous in the domaind)continuous every whereCorrect answer is option 'C'. Can you explain this answer?
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