The things we know that are true based on this is that m does not equal 0 and the inverse function is f(x) = [tex] \frac{x - b}{m} [/tex].
We know that the slope is not 0, because there is no inverse function if this is the case.
Secondly, we can find the inverse function by switching f(x) and x and solving for the new f(x). The work for this is below.
f(x) = mx + b ----> switch f(x) and x
x = mf(x) + b ----> subtract b
x - b = mf(x) ----> divide by m
f(x) = [tex] \frac{x - b}{m} [/tex].
