Final answer:
The inverse of function f(x) = (3 - x)/7 is f^{-1}(x) = 3 - 7x.
Step-by-step explanation:
To find the inverse of a function, we need to switch the roles of the x and y variables, and then solve for y.
For the function f(x) = (3 - x)/7, we replace f(x) with y, giving us y = (3 - x)/7.
Now, we swap the x and y variables and solve for y.
x = (3 - y)/7
To isolate y, we multiply both sides by 7 and rearrange the equation:
7x = 3 - y
y = 3 - 7x
Therefore, the inverse of function f is f^{-1}(x) = 3 - 7x.