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Find the inverse of the function.\newliney=x−6y = x - 6\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−6y = x - 6\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap Variables: Swap xx and yy in the equation y=x−6y = x - 6.\newlineNew function: x=y−6x = y - 6
  2. Add 66 to Isolate: Add 66 to both sides of the equation x=y−6x = y - 6 to isolate yy.\newlinex+6=y−6+6x + 6 = y - 6 + 6\newlineNow simplify the equation to get x+6=yx + 6 = y.
  3. Simplify Equation: Rewrite the equation with yy on the left side to represent the inverse function.\newlineInverse function: y=x+6y = x + 6

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