SOLUTION: What is f−1 (-4x + 7) if f(x) = 3 – 2x?
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Question 479533: What is f−1 (-4x + 7) if f(x) = 3 – 2x?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is f^−1 (-4x + 7) if f(x) = 3 – 2x?
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Determine f^-1(x)
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Given y = 3-2x
1st: Interchange x and y to get:
x = 3-2y
2nd: Solve for "y":
2y = 3-x
f^-1(x) = (-1/2)x + (3/2)
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Determine f^-1(-4x+7):
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f^-1(-4x+7) = (-1/2)(-4x+7) + (3/2)
= 2x-(7/2)+(3/2)
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= 2x - 2
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Cheers,
Stan H.
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