SOLUTION: find the inverse of each function . in addition find the domain and range of each function and its inverse. g(x)=-(1)/(x-1)+3 g(x)= -(2)/(5)x-2 h(n)=(1)/(n-2)-2 g(x)=-2x^5-2

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Question 825683: find the inverse of each function . in addition find the domain and range of each function and its inverse.
g(x)=-(1)/(x-1)+3
g(x)= -(2)/(5)x-2
h(n)=(1)/(n-2)-2
g(x)=-2x^5-2
f(x)= -(1)/(x)-1

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
find the inverse of each function . in addition find the domain and range of each function and its inverse.
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I'll do one. Same pattern for the others::
g(x)=-2x^5-2
Domain: All Real Numbers
Range: All Real Numbers
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Find f^-1(x)
1st: Interchange x and y to get:
x = -2y^5-2
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2nd: Solve for "y":
-2y^5 = x+2
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y^5 = (-1/2)(x+2)
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f^-1(x) = [(-x/2)-1]^(1/5)
Domain: All Real Numbers
Range: All Real Numbers
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Cheers,
Stan H.