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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.

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lublana

Answer:

[tex]f^{-1}(x)[/tex]=the quantity of 3x plus 5 divided by 2

Step-by-step explanation:

We are given that a function [tex]f(x)=\frac{2x-5}{3}[/tex]

We have to find the correct expression

Suppose y=[tex]\frac{2x-5}{3}[/tex]

[tex]3y=2x-5[/tex]

[tex]3y+5=2x[/tex]

[tex]x=\frac{3y+5}{2}[/tex]

Therefore, [tex]f^{-1}(x)=\frac{3x+5}{2}[/tex]

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

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