0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Steve
ProfessorGiven 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
Add your answer:
Earn +20 pts
Definition of Inverse property of addition?
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
When the number is added to its additive inverse what is the sum equal to?
It is zero, by definition of additive inverse!
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Is multiplicative inverse and reciprocal have the same definition?
Yes.
What is the definition of multiplicitive inverse?
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.
