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Find the inverse of the function.\newliney=3x+8y = 3x + 8\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Q. Find the inverse of the function.\newliney=3x+8y = 3x + 8\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  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+8x = 3y + 8.
  2. Solve for yy: Next, we need to solve for yy. To do this, we subtract 88 from both sides of the equation to isolate the term with yy. This gives us x−8=3yx - 8 = 3y.
  3. Divide by 33: Now, we divide both sides of the equation by 33 to solve for yy. This results in y=x−83y = \frac{x - 8}{3}.
  4. Simplify the equation: Finally, we simplify the equation to match the requested form ax+bax + b. Since dividing by 33 is the same as multiplying by 1/31/3, we can rewrite the equation as y=(1/3)x−8/3y = (1/3)x - 8/3.

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