Additive inverse of x is -x (minus x). It's the number that when you add it to the original number, the sum is 0 (zero). 0 is the ADDITIVE IDENTITY, since x+0 = x for all x.
Multiplicative inverse of x is 1/x. Its the number that when you multiply it by the original number, the product is 1. 1 is the MULTIPLICATIVE IDENTITY since 1x = x for all x.
Given a function, f, its inverse is the function which restores the result to the original value.For example,
the inverse of f(x) = x + 3 is g(x) = x - 3
the inverse of f(x) = 2x is g(x) = x/2
Another way to look at it is the composite functions f(g(x)) and g(f(x)) must be the identity function.
f(g(x)) = g(f(x)) = x
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
It is zero, by definition of additive inverse!
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Yes.
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
It is zero, by definition of additive inverse!
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
cross multiply
it is considered, to be the: "Inverse," in algebra!(:
Yes.
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.
y is inversely proportional to x if it is proportional to 1/x.
There is no multiplicative inverse of 0. By definition, when you multiply a number by its multiplicative inverse, the product is 1. However, when you multiply 0 by anything, the product is 0. Those two statements could not logically co-exist if there were any multiplicative inverse of 0, so there is no such thing.