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Find the inverse of the function.\newliney=5x+3y = 5x + 3\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+3y = 5x + 3\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+3x = 5y + 3.
  2. Solve for y: Next, we need to solve for yy. To do this, we subtract 33 from both sides of the equation to isolate the term with yy. This gives us x−3=5y+3−3x - 3 = 5y + 3 - 3.
  3. Isolate y: Simplifying the equation, we get x−3=5yx - 3 = 5y. Now we need to isolate yy by dividing both sides of the equation by 55.
  4. Divide by 55: Dividing both sides by 55 gives us (x−3)/5=y(x - 3)/5 = y. This is the inverse function in terms of xx.

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