Problemas
Is the inverse a function? f(x)=(x+5)^3 yes no
Roztwór
Ricardo
professionell · Tutor durante 6 años
4.5
(264 Votos)
Respuesta
To determine if the inverse of the function
is also a function, we need to check if the original function is one-to-one.A function is one-to-one if each input value corresponds to a unique output value. In other words, for any two different input values, their corresponding output values should also be different.Let's analyze the given function
:1. The function
is a cubic function, which means it is a one-to-one function. This is because for any two different input values, their corresponding output values will also be different.2. Since the original function
is one-to-one, its inverse will also be a function.Therefore, the answer is: yes, the inverse of the function
is also a function.