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Find the inverse of the function.\newliney=x−4y = x - 4\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Full solution

Q. Find the inverse of the function.\newliney=x−4y = x - 4\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  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−4x = y - 4.
  2. Solve for y: Next, we solve for yy by adding 44 to both sides of the equation to isolate yy. This gives us x+4=y−4+4x + 4 = y - 4 + 4.
  3. Simplify the equation: Simplifying the equation, we get x+4=yx + 4 = y. This is the inverse function of the original function.

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