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Find the inverse of the function.\newliney=5x+9y = 5x + 9\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=5x+9y = 5x + 9\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=5y+9x = 5y + 9.
  2. Solve for yy: Next, we need to solve for yy. To do this, we subtract 99 from both sides of the equation to isolate the term with yy. This gives us x−9=5y+9−9x - 9 = 5y + 9 - 9.
  3. Isolate y: Simplifying the equation, we get x−9=5yx - 9 = 5y. Now we need to isolate yy by dividing both sides of the equation by 55. This gives us (x−9)/5=y(x - 9) / 5 = y.
  4. Final Inverse Function: The equation (x−9)/5=y(x - 9) / 5 = y is now solved for yy, and it represents the inverse function. We can write this in the form y=ax+by = ax + b by expressing it as y=(1/5)x−9/5y = (1/5)x - 9/5.

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