Question

Which function below is the inverse of f(x)= 3x+5/7

Answer 1

`\huge\boxed{f^(-1)(x) = (7x-5)/(3)}`

Explanation:

Given the function:

`f(x) = (3x+5)/(7)`

Put f(x) = y

`y = (3x+5)/(7)`

Interchange x and y

`x = (3y+5)/(7)`

Solve for y

`x = (3y+5)/(7)`

Multiplying both sides by 7

`7x = 3y+5`

Subtracting y to both sides

`7x-5 = 3y`

Dividing both sides by 3

`(7x-5)/(3) = y`

OR

`y = (7x-5)/(3)`

Put y =
`f^(-1)(x)`

So,

`f^(-1)(x) = (7x-5)/(3)`

Hope this helped!

~AnonymousHelper1807