Given 4c + 5 = 0 and c is a real number, what is the multiplicative inverse of 4c + 5?

Solution:

Given, 4c + 5 = 0

We have to find the multiplicative inverse of 4c + 5 = 0

The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1. 

The multiplicative inverse of 'a' is denoted by a^-1 or 1/a.

For example, let us consider 3 bananas.

Divide the bananas into three groups of 1 each.

We have to divide them by 3.

Here, 3 ÷ 3 = 3 × 1/3 = 1.

Here, 1/3 is the multiplicative inverse of 3.

Similarly, the multiplicative inverse of 4c + 5 is given by 1/(4c + 5).

Given 4c + 5 = 0 and c is a real number, what is the multiplicative inverse of 4c + 5?

Summary:

Given 4c + 5 = 0 and c is a real number, then the multiplicative inverse of 4c + 5 is 1/(4c + 5).