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Find the inverse of the function.\newliney=−4x−5y = -4x - 5\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Q. Find the inverse of the function.\newliney=−4x−5y = -4x - 5\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  1. Swap x and y: Swap xx and yy in the equation y=−4x−5y = -4x - 5 to begin finding the inverse function.\newlineNew function: x=−4y−5x = -4y - 5
  2. Add 55 to isolate y: Add 55 to both sides of the equation x=−4y−5x = -4y - 5 to isolate the term with yy.\newlinex+5=−4y−5+5x + 5 = -4y - 5 + 5\newlineNow simplify the equation to get x+5=−4yx + 5 = -4y.
  3. Divide by ext{-}44 to solve for y: Divide both sides of the equation x+5=−4yx + 5 = -4y by ext{-}44 to solve for y.\newliney=x+5−4y = \frac{x + 5}{-4}\newlineNow simplify the equation to get y=−14x−54y = -\frac{1}{4}x - \frac{5}{4}.

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