Find the inverse equation of f ( x ) = 2 x − 6 . It will be f^ − 1 ( x ) =

Answer 1

f(x) = 2x - 6

x = 2[f^-1(x)] - 6

x + 6 = 2[f^-1(x)]

(x - 6) / 2 = f^-1(x)

Answer 2

To find the inverse write the equation in terms of x and y: y=2x-6

Switch the x and y value x = 2y - 6

Solve for y x + 6 = 2y

x/2 + 6/2 = 2y/2

x/2 + 3 = y or y = (1/2)(x) + 3

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