Question

Which of the following is the inverse of f(x)=3-x/5?​

Answer 1

Answer:

-5x+3 OR 5x-3

Step-by-step explanation:

You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case,  the closest answer would be 5x-3.

UPDATE: -5x + 3 can be written as 3 - 5x lol

Answer 2

Answer:

B. f⁻¹(x) = 3 - 5x

Step-by-step explanation:

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

Replace f(x) with y.

y = (3 - x)/5

Switch the variables.

x = (3 - y)/5

Multiply both sides by 5.

5x = 3 - y

Subtract 3 from both sides.

5x - 3 = -y

Multiply both sides by -1.

y = -5x + 3

Apply commutative property.

y = 3 - 5x

Replace y with f⁻¹(x).

f⁻¹(x) = 3 - 5x.