Question

Given the function f(x) = The quantity of 2x minus 5, divided by 3 , which of the below expressions is correct? (1 point) f−1(x) = The quantity of 5 minus 2x, divided by 3. f−1(x) = The quantity of 3x minus 5, divided by 2. f−1(x) = The quantity of 3x plus 5, divided by 2. f−1(x) = The quantity of negative 2x minus 5, divided by 3.

Answer 1

`f^(-1)(x)`=the quantity of 3x plus 5 divided by 2

Explanation:

We are given that a function
`f(x)=(2x-5)/(3)`

We have to find the correct expression

Suppose y=
`(2x-5)/(3)`

`3y=2x-5`

`3y+5=2x`

`x=(3y+5)/(2)`

Therefore,
`f^(-1)(x)=(3x+5)/(2)`

Answer:
`f^(-1)(x)`=the quantity of 3x plus 5 divided by 2