how to find the inverse of a number

how to find the inverse of a number A number can have two inverses One inverse is the additive inverse which is the value that when added with the original number will equal zero To find the additive inverse just make the original value negative if it s positive or positive if it s negative

In fact every number has two opposites the additive inverse and the reciprocal or multiplicative inverse Don t be intimidated by these technical sounding names though Finding a number s opposites is actually pretty straightforward The additive inverse The multiplicative inverse of a number x is given by x 1 such that when it is multiplied by its original number it results in value equal to 1 For example the multiplicative inverse of 2 is 2 1 as it satisfies the expression 2 x 2 1 2 x 1 It is also called as reciprocal of a number

how to find the inverse of a number

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We call dfrac 1 a the multiplicative inverse of a a 0 The reciprocal of a number is its multiplicative inverse A number and its reciprocal multiply to 1 which is the multiplicative identity We ll formally state the Inverse Properties here The Inverse of a Number Consider a number x where x is not equal to zero Then the inverse of a number x is the reciprocal of the number that is 1 x Ex Inverse of a number 100 is 1 100 the inverse of a number 34 is 1 34

To find the inverse of a function start by switching the x s and y s Then simply solve the equation for the new y For example if you started with the function f x 4x 3 2x 5 first you d switch the x s and y s and get x 4y 3 2y 5 There are 3 methods for finding the inverse of a function algebraic method graphical method and numerical method What is the inverse of a function The inverse of a function f is a function f 1 such that for all x in the domain of f f 1 f x x

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N n 0 for every real number n In simple words the additive inverse of a number is the opposite or negative of that number In general we can study the concept of additive inverse for integers rational numbers real numbers etc Note that the number 0 is known as the additive identity Additive inverse examples Learn the steps to finding the inverse of a rational function Including the technique on how to determine the domain and range of the inverse function from the original function

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