F (x) = 7x - 13. Find f-1 (x).

The inverse is when you reflect the function across the identity line, y=x

to find the inverse of a function flip switch all x and y and solve for y, then replace y with f inverse

f (x) = 7x-13

y=7x-13

switch

x=7y-13

solve for y

x+13=7y

(x+13) / 7=y

f inverse = (x+13) / 7

quantity of x plus 13 over 7