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Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.

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Q: Does the greatest integer function have an inverse function?
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Related questions

What is the greatest integer function of -50.95?

-51


Is the greatest integer function a continuous funcion?

No. It has a discontinuity at every integer value.


The greatest integer function and absolute value function are both examples of functions that can be defined as what?

Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.


The greatest integer function shown below is define so that it produces the greatest integer what or equal to x?

Less than


Is the absolute value function and the greatest integer function one to one?

Neither of the two are one-to-one


Is the greatest integer function x integrable over the real line?

yes


How is integer subtraction related to integer addition?

they are inverse functions


What is the relationships between inverse functions?

The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.


Is the multiplicative inverse of a rational number an integer?

No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.


Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.


Does every integer have a multiplicative inverse?

No, it does not.


If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?

The original function's RANGE becomes the inverse function's domain.