The multiplicative inverse of 4c + 5 is
. This value, when multiplied by 4c + 5, yields the identity element for multiplication, which is 1.
The given equation is 4c + 5 = 0, and we need to find the multiplicative inverse of 4c + 5. The multiplicative inverse of a number is another number that, when multiplied by the original number, results in the identity element for multiplication, which is 1.
To find the multiplicative inverse, first, isolate c in the equation
4c + 5 = 0:
4c = -5
Now, divide both sides by 4 to solve for c:
![\[ c = -(5)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/dnxxdmaxvy6oi7hkdknszg5okwi6ubqfpj.png)
The multiplicative inverse of 4c + 5 is the reciprocal of this value:
![\[ \text{Multiplicative Inverse} = (1)/(-(5)/(4)) = -(4)/(5) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/d7ronyvm4nlxy1lqlsetavri1dszb2qf5q.png)
Therefore, the multiplicative inverse of

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