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Find the inverse of the function.\newliney=x−5y = x - 5\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−5y = x - 5\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap variables: To find the inverse of the function, we first swap the variables xx and yy. New equation: x=y−5x = y - 5
  2. Solve for y: Next, we solve for y by adding 55 to both sides of the equation.\newlinex+5=y−5+5x + 5 = y - 5 + 5\newlineThis simplifies to x+5=yx + 5 = y.
  3. Isolate yy: We have now isolated yy on one side of the equation, which gives us the inverse function.\newlineInverse function: y=x+5y = x + 5

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