File Name: inverse functions questions and answers .zip
- 1.1 Functions Inverse Functions Questions - The Answer
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- Evaluate inverse functions
1.1 Functions Inverse Functions Questions - The Answer
A reversible heat pump is a climate-control system that is an air conditioner and a heater in a single device. Operated in one direction, it pumps heat out of a house to provide cooling. Operating in reverse, it pumps heat into the building from the outside, even in cool weather, to provide heating. As a heater, a heat pump is several times more efficient than conventional electrical resistance heating. In this section, we will consider the reverse nature of functions. Suppose a fashion designer traveling to Milan for a fashion show wants to know what the temperature will be. He is not familiar with the Celsius scale.
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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. 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 reverse order. In this case, it means to add 7 to y , and then divide the result by 5. In functional notation , this inverse function would be given by,. Not all functions have inverse functions. Let f be a function whose domain is the set X , and whose codomain is the set Y.
Practice - Inverse Functions. State if the given functions are inverses. 1) g(x)= − x5. − 3 f(x)= −x −3 Answers - Inverse Functions. 1) Yes. 2) No. 3) Yes.
Evaluate inverse functions
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