If f(x) = 3𝑥−3x−33 , then f -1(x) =
Question
If f(x) = 3𝑥−3x−33 , then f -1(x) =
Solution
To find the inverse of the function f(x) = 3x - 3, we follow these steps:
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Replace f(x) with y, so the equation becomes y = 3x - 3.
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Swap x and y to get x = 3y - 3.
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Solve for y to find the inverse function.
Add 3 to both sides: x + 3 = 3y.
Divide both sides by 3: (x + 3) / 3 = y.
So, the inverse function f^-1(x) = (x + 3) / 3.
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