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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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Full solution

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 xx and yy: To find the inverse of the function, we first swap xx and yy. This gives us the equation x=y−8x = y - 8.
  2. Solve for yy: Next, we solve for yy by adding 88 to both sides of the equation to isolate yy. This gives us x+8=yx + 8 = y.
  3. Final Inverse Equation: The equation x+8=yx + 8 = y is now solved for yy, and it represents the inverse of the original function.

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