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/5-x

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(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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