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Find the inverse of the function.\newliney=−2x−5y = -2x - 5\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Find the inverse of a linear functionright chevron icon

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Q. Find the inverse of the function.\newliney=−2x−5y = -2x - 5\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  1. Swap Variables: Swap xx and yy in the equation y=−2x−5y = -2x - 5 to begin finding the inverse function.\newlineNew function: x=−2y−5x = -2y - 5
  2. Add 55: Add 55 to both sides of the equation x=−2y−5x = -2y - 5 to isolate the term with yy.\newlinex+5=−2y−5+5x + 5 = -2y - 5 + 5\newlineNow simplify the equation to get x+5=−2yx + 5 = -2y.
  3. Isolate y: Divide both sides of the equation x+5=−2yx + 5 = -2y by −2-2 to solve for y.\newliney=x+5−2y = \frac{x + 5}{-2}\newlineSimplify the equation to get y=−12x−52.y = -\frac{1}{2}x - \frac{5}{2}.

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