Posted by **jasmine** on Sunday, July 28, 2013 at 3:32am.

find the domain, target, and rule of the inverse functions:

1. f(x)=(x+3)/(5x+2)

2. g(x)=1/square root of 2x-1

- math -
**Steve**, Sunday, July 28, 2013 at 5:58am
y = (x+3)/(5x+2)

5xy+2y = x+3

(5y-1)x = 3-2y

x = (3-2y)/(5y-1)

So, the inverse function is (3-2x)/(5x-1)

y = 1/√(2x-1)

y^2 = 2x-1

x = (y^2+1)/2

So, g^-1(x) = (x^2+1)/2

You can probably figure out the rest.

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