Posted by jason on Thursday, October 17, 2013 at 7:56pm.
Find the inverse of each of these functions
- math - Anonymous, Thursday, October 17, 2013 at 10:01pm
x =2y/5 -y
5x = 2y -5y
5x = -3y
F(x) = -5x/3
- correction - math - Reiny, Friday, October 18, 2013 at 12:12am
if f(x) = x/(x+2) , then y = x/(x+2)
step1: interchange the x and y variables to get the inverse as
x = y/(y+2)
step 2: solve this new equation for y
x = y/(y+2)
xy + 2x = y
xy - y = -2x
y(x-1) = -2x
y = -2x/(x-1) or y = 2x/(1-x)
f^-1 (x) = 2x/(1-x)
now do the same for others following these two steps.
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