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

Answer:

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

Step-by-step explanation:

We are given that a function $f(x)=\frac{2x-5}{3}$

We have to find the correct expression

Suppose y=$\frac{2x-5}{3}$

$3y=2x-5$

$3y+5=2x$

$x=\frac{3y+5}{2}$

Therefore, $f^{-1}(x)=\frac{3x+5}{2}$

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