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Question 531316: h(x)=(6x+1)/(-7-x), find h^-1
find domain
find range
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! h(x)=(6x+1)/(-7-x),
find h^-1
Interchange x and y to get:
x = (6y+1)/(-7-y)
Solve for "y":
-4x - yx = 6y+1
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6y+1+yx = -4x
y(6+x) = -(4x+1)
y = -(4x+1)/(x + 6)
f^-1(x) = -(4x+1)/(x+6)
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find domain
Look for the vertical asymptotes:
Of f(x): All Real Numbers except x = 7
of f(-1): All Real Numbers except x = -6
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find range
Look for the horizontal asymptotes:
of f(x):All Real Numbers except y = -6
of f^-1(x): All Real Numbers except -2/3
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Cheers,
Stan H.
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