How do you find the inverse of f(x)=(2-3x)/4?

1 Answer
Sep 1, 2015

f^-1(x) = (2 - 4x)/3

Explanation:

f(x) = (2 - 3x)/4 => f(x) = y:

y = (2 - 3x)/4 => switch x & y:

x = (2 - 3y)/4 => solve for y:

x/1 = (2 - 3y)/4 => now cross multiply:

2 - 3y = 4x => subtract 2 from both sides:

-3y = 4x - 2 => divide both sides by -3:

y = (2 - 4x)/3 => this is the inverse function, so:

f^-1(x) = (2 - 4x)/3