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Find the inverse of the function.\newliney=−3x+5y = -3x + 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=−3x+5y = -3x + 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=−3y+5x = -3y + 5.
  2. Add and isolate y: Next, we need to solve for y. To do this, we add 3y3y to both sides of the equation to get x+3y=5x + 3y = 5.
  3. Divide by 33: Now, we subtract xx from both sides to isolate the term with yy on one side: 3y=5−x3y = 5 - x.
  4. Final form: To solve for yy, we divide both sides of the equation by 33 to get y=5−x3y = \frac{5 - x}{3}.
  5. Final form: To solve for yy, we divide both sides of the equation by 33 to get y=5−x3y = \frac{5 - x}{3}.We can rewrite 5−x3\frac{5 - x}{3} as y=−13x+53y = -\frac{1}{3}x + \frac{5}{3} to match the form ax+bax + b.

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