How to find the equation of the inverse function (the one below)?
#f(x)= 1/(-1/3(x-3))-4#
1 Answer
Feb 14, 2017
Explanation:
Let:
#y = f(x) = 1/(-1/3(x-3))-4#
and solve for
First add
#y+4 = 1/(-1/3(x-3))#
Take the reciprocal of both sides of the equation to get:
#1/(y+4) = -1/3(x-3)#
Multiply both sides by
#-3/(y+4) = x-3#
Add
#x = 3-3/(y+4)#
So the inverse function can be written as:
#f^(-1)(y) = 3-3/(y+4)#