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Mathematical function that undoes the effect of another function. For example, the inverse function of the formula that converts Celsius temperature to Fahrenheit temperature is the formula that converts Fahrenheit to Celsius. Applying one formula and then the other yields the original temperature. Inverse procedures are essential to solving equations because they allow mathematical operations to be reversed (e.g. logarithms, the inverses of exponential functions, are used to solve exponential equations). Whenever a mathematical procedure is introduced, one of the most important questions is how to invert it. Thus, for example, the trigonometric functions gave rise to the inverse trigonometric functions.
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What is inverse operation?
An inverse operation undoes the effect of another operation. For example, addition is the inverse operation of subtraction, and multiplication is the inverse operation of division. Applying an operation and its inverse leaves you with the original value.
What operation is the inverse operation of addition?
The inverse operation of addition is subtraction. Subtraction undoes addition by taking away a number from the sum to return to the original value.
What does the word inverse operation mean?
An inverse operation is an operation that "undoes" another operation. For example, addition and subtraction are inverse operations, as are multiplication and division. Using inverse operations allows you to reverse the effects of the original operation.
What is an inverse operation?
An inverse operation is an operation that reverses the effect of the original operation. For example, addition and subtraction are inverse operations. 2 add 5 is 7, subtract 5 is 2. The subtraction of 5 reversed the effect of adding 5. Multiplication and division are also inverse operations. Two functions f and g are inverse if f(g(x)) = g(f(x)) = x.
How could you show the inverse operation of Exercise 5 above?
To show the inverse operation of Exercise 5, you could demonstrate how to undo the steps of Exercise 5 in reverse order, resulting in the original input. This would help illustrate how the inverse operation undoes the effects of the original operation.
