SOLUTION: Find the inverse of the following functions: a) g(x)=(2x-3) / (4+x) b) f(x)= sqrt -x+5+2

Algebra ->  Inverses -> SOLUTION: Find the inverse of the following functions: a) g(x)=(2x-3) / (4+x) b) f(x)= sqrt -x+5+2      Log On


   

Question 1056470: Find the inverse of the following functions:
a) g(x)=(2x-3) / (4+x)

b) f(x)= sqrt -x+5+2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=(2x-3)/(4+x); interchange x and y
x=(2y-3)/(4+y)
multiply by (4+y)
4x+xy=2y-3
4x=2y-3-xy
4x+3=2y-xy
4x+3=y(2-x)
y=(4x+3)/(2-x)

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y=sqrt((-x+5)+2, edited
x=sqrt(5-y)+2
x-2=sqrt(5-y)
(x-2)^2=5-y
y=5-(x-2)^2
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