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

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

Step 1:

we write f (x) as y

y = (3x+5) / 7

Step 2:

switch y by x and x by y

x = (3y+5) / 7

Step 3:

solve for y,

x = (3y+5) / 7

multiply both sides by 7

7x=3y+5

subtract 5 from left side

3y=7x-5

divide both sides by 3

y = (7x-5) / 3

f⁻¹ (x) = (7x-5) / 3