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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=y = ______

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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=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=2y−5x = 2y - 5.
  2. Solve for y: Next, we need to solve for y. To do this, we add 55 to both sides of the equation to isolate terms with yy on one side. This results in x+5=2yx + 5 = 2y.
  3. Divide by 22: Now, we divide both sides of the equation by 22 to solve for yy. This gives us (x+5)/2=y(x + 5) / 2 = y.
  4. Final Inverse Function: The equation (x+5)/2=y(x + 5) / 2 = y is the inverse function in the form y=(1/2)x+5/2y = (1/2)x + 5/2. Since there are no fractions to simplify further, this is the final form of the inverse function.

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