Respuesta :

Answer:

We have the function f(x) = 2x + 3

the processes which take place in this function are

we take x                         [x]

we multiply it by 2           [2x]

we add 3 to it                   [2x + 3]

To get the inverse of this function, we will do exactly the opposite of it

we will take the output of the initial function           [y]

we will subtract 3 from it                         [y-3]

we will divide it by 2                   [(y-3)/2]

We get the function:

[tex]f^{-1}[/tex](y) = (y-3) / 2

Inverse functions are used to get the initial value used in the function bu using the output of the function

[tex]f^{-1}[/tex](0) = (0-3)/2

[tex]f^{-1}[/tex](0) = -3/2

Therefore, the input of the function is -3/2 when the output is 0