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Find the inverse of the function.\newliney=x+2y = x + 2\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______

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Q. Find the inverse of the function.\newliney=x+2y = x + 2\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap x and y: To find the inverse of the function, we first swap xx and yy. This means we replace yy with xx and xx with yy in the original equation.\newlineOriginal function: y=x+2y = x + 2\newlineSwapped function: x=y+2x = y + 2
  2. Solve for y: Next, we need to solve the swapped function for y. To do this, we subtract 22 from both sides of the equation to isolate yy.\newlineCalculation: x−2=y+2−2x - 2 = y + 2 - 2\newlineSimplified equation: x−2=yx - 2 = y
  3. Final Inverse Function: Now that we have isolated yy, we have found the inverse function.\newlineInverse function: y=x−2y = x - 2

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