find the inverse formula for the function f(x)= 3x-7

To determine the inverse function means to determine x with
respect to y, from the given expression of f(x).

We'll note f(x) = y
and we'll re-write the equation:

y = 3x -
7

We'll use the symmetryc property:

3x
- 7 = y

We'll isolate 3x to the left side. For this reason, we'''
add 7 both sides:

3x = y + 7

Now, we'll
divide by 3 both sides to get x

x =
(y+7)/3

The inverse function is f(y) =
(y+7)/3

By definition, we'll write the inverse function
as:

f^-1(x) =
(x+7)/3

f^-1(x) = x/3 +
2.(3)