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Find the inverse of the function.\newliney=x−3y = x - 3\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______

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Full solution

Q. Find the inverse of the function.\newliney=x−3y = x - 3\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap xx and yy: To find the inverse of the function, we first swap xx and yy. This gives us the equation x=y−3x = y - 3.
  2. Solve for y: Next, we solve for yy by adding 33 to both sides of the equation. This gives us x+3=y−3+3x + 3 = y - 3 + 3.
  3. Simplify the equation: Simplifying the equation, we get x+3=yx + 3 = y. This is the inverse of the original function.

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