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Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?

A. f−1(x) = The quantity of 3 minus 5x, divided by 4

B. f−1(x) = The quantity of 4x plus 3, divided by 5

C. f−1(x) = The quantity of 4x minus 3, divided by 5.

D. f−1(x) = The quantity of negative 5x minus 3, divided by 4.

(WILL GIVE BRAINLIEST)

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Answer:

B. f−1(x) = The quantity of 4x plus 3, divided by 5

Step-by-step explanation:

Given

[tex]f(x) = \frac{5x-3}{4}[/tex]

We have to find the inverse of the function

[tex]Let\\f(x) = y\\y=\frac{5x-3}{4}\\4y=5x-3\\4y+3=5x\\\frac{4y+3}{5} =y[/tex]

So, the inverse of f(x) is:

[tex]\frac{4y+3}{5}[/tex]

Hence,

The correct answer is:

B. f−1(x) = The quantity of 4x plus 3, divided by 5 ..

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