The Given Expression and Its Multiplicative Inverse

Oct 13, 2025 by vinooalluri.com 141 views

Understanding the Concept of Multiplicative Inverse

In mathematics, the multiplicative inverse of a number or an expression is another number or expression that, when multiplied together, results in a value of 1. In other words, if we have an expression 'a' and its multiplicative inverse is 'b', then the product of 'a' and 'b' is equal to 1. This concept is widely used in various branches of mathematics, including algebra and calculus.

The Given Expression and Its Multiplicative Inverse

We are given the expression $$4c + 5$$ and we need to find its multiplicative inverse. The multiplicative inverse of an expression is denoted by the symbol '1/a' or 'a^(-1)', where 'a' is the given expression. In this case, we need to find the value of '1/(4c + 5)'.

The Multiplicative Inverse of an Expression

To find the multiplicative inverse of an expression, we need to follow a simple rule. If we have an expression 'a' and its multiplicative inverse is 'b', then the product of 'a' and 'b' is equal to 1. Mathematically, this can be represented as:

a × b = 1

In our case, the expression is $$4c + 5$$ and we need to find its multiplicative inverse. Let's assume that the multiplicative inverse of $$4c + 5$$ is 'x'. Then, we can write: