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If f(x) = 3𝑥−3x−33​ , then f -1(x) =

Question

If f(x) = 3𝑥−3x−33​ , then f -1(x) =

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Solution

To find the inverse of the function f(x) = 3x - 3, we follow these steps:

  1. Replace f(x) with y, so the equation becomes y = 3x - 3.

  2. Swap x and y to get x = 3y - 3.

  3. 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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