Question

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

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

Answer 1

I hope this helps you

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we have given that

f(x) = The quantity of 3x minus 4, divided by 5

Mathematically,

`f(x)=(3x-4)/(5)`

We need to find the inverse of f , so,

Let f(x)=y

`(3x-4)/(5)=y\\\\3x-4=5y\\\\3x=5y+4\\\\x=(5y+4)/(3)`

Now, replace y with x,

`y=(5x+4)/(3)\\\\f^(-1)(x)=(5y+4)/(3)`

So,
`f^(-1)(x)`= The quantity of 5x plus 4, divided by 3.

Hence, Option 'A' is correct.