Find the inverse function in slope-intercept form (mx=b):
f(x) = -2x+2
f^-1(x) =
To find the inverse function, we need to switch the roles of x and y and solve for y.
Starting with the original function:
f(x) = -2x + 2
Replace f(x) with y:
y = -2x + 2
Switch the roles of x and y:
x = -2y + 2
Solve for y:
x - 2 = -2y
-2y = x - 2
y = (x - 2)/-2
Therefore, the inverse function in slope-intercept form is:
f^-1(x) = (x - 2)/-2