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Find the inverse of the function.\newliney=x+8y = x + 8\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+8y = x + 8\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap variables xx and yy: To find the inverse of the function, we first swap the variables xx and yy. This means we replace every xx with a yy and every yy with an xx.
    New function: x=y+8x = y + 8
  2. Solve for y: Next, we need to solve for yy. To do this, we subtract 88 from both sides of the equation to isolate yy.x−8=y+8−8x - 8 = y + 8 - 8Simplifying this, we get x−8=yx - 8 = y.
  3. Isolate yy to find inverse: Now that we have isolated yy, we have found the inverse function.\newlineInverse function: y=x−8y = x - 8

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