Inverse/reciprocal
F(x)= 1/xD: {x| x doesn’t = 0}R: {y| y doesn’t = 0}X-int.: noneY-int.: none
Inverse and reciprocal are mathematical terms frequently used in algebra and trigonometry.
The inverse of a number is the opposite of that number’s value. For example, the inverse of 5 is -5, and the inverse of -8 is 8. Inverse is also used in the context of functions. The inverse of a function f(x) is the function that reverses the input and output of f(x) so that, if f(a) = b, then the inverse of f, denoted by f^-1, would have f^-1(b) = a.
The reciprocal of a number is the number by which, when multiplied by the original number, yields a product equal to 1. For example, the reciprocal of 5 is 1/5, and the reciprocal of 1/4 is 4. The reciprocal of a fraction can be found by swapping the numerator and denominator. Hence, the reciprocal of a/b is b/a.
In summary, inverse and reciprocal are terms that have different meanings and contexts but are important concepts for understanding mathematical operations in algebra and trigonometry.
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