Question

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

Answer 1

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

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

Mathematically,

$f(x)=\frac{3x-4}{5}$

We need to find the inverse of f , so,

Let f(x)=y

$\frac{3x-4}{5}=y\\\\3x-4=5y\\\\3x=5y+4\\\\x=\frac{5y+4}{3}$

Now, replace y with x,

$y=\frac{5x+4}{3}\\\\f^{-1}(x)=\frac{5y+4}{3}$

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

Hence, Option 'A' is correct.

Answer 2

I hope this helps you