Question

Given the function f(x) = the quantity of 5x minus 3, divided by 4, which of the below expressions is correct?. f−1(x) = The quantity of 3 minus 5x, divided by 4. . f−1(x) = The quantity of 4x plus 3, divided by 5. . f−1(x) = The quantity of 4x minus 3, divided by 5.. . f−1(x) = The quantity of 4x minus 3, divided by 5.

Answer 1

F(x) = [5x - 3] / 4

f[-1] (x) = {4 [f(x)] + 3 } / 5

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

Answer 2

Answer:

Option 2 -  $f^{-1}(x)$ = The quantity of 4x plus 3, divided by 5.

Step-by-step explanation:

Given : f(x) = the quantity of 5x minus 3, divided by 4

To find : Which of the below expressions is correct?

Solution :

We can write the expression as

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

Let, f(x)=y

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

To find inverse, interchange the place of x and y and solve for y.

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

$4x=5y-3$

$4x+3=5y$

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

So, The inverse of f(x) is $f^{-1}(x)=\frac{4x+3}{5}$

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

Therefore, option 2 is correct.