[Answer] What is the inverse of the function f(x) = x - 12?

Answer: h(x) = 4x + 48

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What is the inverse of the function f(x) = x - 12? The notation sinh −1 ( x ) cosh −1 ( x ) etc. is also used despite the fact that care must be taken to avoid misinterpretations of the superscript −1 as a power as opposed to a shorthand to denote the inverse function (e.g. cosh −1 ( x ) versus cosh( x ) −1). Mon Dec 16 2013 13:30:00 GMT-0500 (Eastern Standard Time) · Statement of the theorem. Let and be two intervals of .Assume that : → is a continuous and invertible function . It follows from the intermediate value theorem that is strictly monotone.Consequently maps intervals to intervals so is an open map and thus a homeomorphism. Since and the inverse function −: → are continuous they have antiderivatives by the fundamental … The function g : Y → X is said to be a right inverse of the function f : X → Y if f (g(y)) = y for every y in Y (g can be undone by f ). In other words g is a right inverse of f if the composition f o g of g and f in that order is the identity function on the domain Y of g . Inverse function - Wikipedia Multiplicative inverse - Wikipedia Inverse function theorem - Wikipedia Inverse function - Wikipedia In mathematics an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y then applying its inverse function g to y gives the result x i.e. g(y) = x if and only if f(x) = y. The inverse function of f is also denoted as ${\displaystyle f^{-1}}$. As an example consider the real-valued function of a real variable given by f(x) = 5x − 7. Thinking of this as a step-by-step procedure (namely take a number x multiply it by 5 then subtract 7 from the result) to reverse this and get x back from some output value say y we would undo each step in revers… In mathematics an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y then applying its inverse fun...

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