Posted by jason on Thursday, October 17, 2013 at 7:56pm.
Find the inverse of each of these functions
a)f(x)=x/x+2
b)f(x)=2x/5x
c)f(x)=3x/2x+1

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
1st one:
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(x1) = 2x
y = 2x/(x1) or y = 2x/(1x)
f^1 (x) = 2x/(1x)
now do the same for others following these two steps.
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