Question

Consider the function m(t) =-28/5t.

Angie states that the additive inverse is p(t) = 28/5t and the multiplicative inverse is r(t) = -28/5t . Is one (or both) of Angie’s conclusions correct?

Angie is correct about both inverses.
Angie is correct about neither inverse.
Angie is correct about the additive inverse only.
Angie is correct about the multiplicative inverse only.

Answer 1

Angie is correct about the additive inverse only.

Step-by-step explanation:

Angie is correct about the additive inverse only. The additive inverse of a function is the function that, when added to the original function, gives a sum of zero. In this case, the additive inverse of m(t) = -28/5t is p(t) = 28/5t. However, Angie is not correct about the multiplicative inverse. The multiplicative inverse of a function is the function that, when multiplied by the original function, gives a product of one. In this case, the multiplicative inverse of m(t) = -28/5t would be r(t) = -5/28t, not -28/5t as Angie stated.