What is the inverse of f (x) = The quantity of three x plus five, over seven.?

To solve for the inverse of the function, one way to go about it is to switch or reverse the variables for both x and y. Then solve for y or f (X) again.

F (X) = 3x+5/7

Y = 3x+5/7

X = 3y+5/7

7x = 3y+5

7x-5 = 3y+5-5

7x-5 = 3y

7x-5/3 = 3y/3

7x-5/3 = y

Y = 7x-5/3

F (x) = 7x-5/3.