Consider the function m(t) = StartFraction negative 28 Over 5 t EndFraction. Angie states that the additive inverse is p(t) = StartFraction 28 Over 5 t EndFraction and the multiplicative inverse is r(t) = StartFraction negative 28 Over 5 t EndFraction . Is one (or both) of Angie’s conclusions correct?

The conclusion on the additive inverse is correct while the conclusion on the multiplicative inverse is incorrect

Step-by-step explanation:

Here, we want to find out if what Angie is saying is correct or not.

The equation we are considering is m(t) = (-28/5)t

Let’s start with the additive inverse

When we talk of the additive inverse, we mean that particular value which when added to the original equation will give the identity element 0

She said this value is (28/5)t

This is actually correct. This is because when we add (-28/5)t to (28/5)t , we will get 0

Let’s look at the multiplicative inverse

When we talk of the multiplicative inverse, we are referring to that value, such that when we multiply it by the original expression, we will have a value of 1

This is actually incorrect. This is because an expression cannot be a multiplicative inverse of itself. Looking at the values given for the number and its multiplicative inverse, we can see that these values are actually the same which is not supposed to be so and hence, the two cannot be multiplicative inverse of each other.

step-by-step explanation:

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