The inverse of this function is f(x) = [tex] \frac{x + 9}{7} [/tex].
All inverse functions can be found by switching the x and f(x) values. Then you can solve for the new f(x). The result is the inverse function. Below is the step-by-step process for finding one.
f(x) = 7x - 9 ----> Switch the x and f(x)
x = 7f(x) - 9 -----> Add 9 to both sides
x + 9 = 7f(x) ----> Divide both sides by 7
f(x) = [tex] \frac{x + 9}{7} [/tex]
