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False. (APEX :))
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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.
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.
Is it possible for a fourth degree function to have an inverse that is a function?
In order for a fourth degree function to have an inverse function, its domain must be restricted. Otherwise the inverse function will not pass the vertical-line test.Ex.f(x) = x^4 (x>0), the original functionf-1(x) = x ^ (1/4), the inverse
What is the domain of the inverse of a relation?
The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.
Do inverse function of modulus exist?
No. The modulus function maps two values (except 0) from the domain (-x, and x) to one value (+x) in the range or codomain. This means that for the inverse mapping each value in the new domain (the original codomain) is associated with two values in the new codomain (original domain). A function cannot map one value to more than one.
