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Find the inverse of the function.\newliney=x−7y = x - 7\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−7y = x - 7\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−7x = y - 7.
  2. Solve for yy: Next, we need to solve for yy. To do this, we add 77 to both sides of the equation to isolate yy. This gives us x+7=y−7+7x + 7 = y - 7 + 7.
  3. Simplify the equation: Simplifying the equation, we get x+7=yx + 7 = y. This is the inverse of the original function.

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