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Find the inverse of the function.\newliney=3xy = 3x\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=3xy = 3x\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 y=3xy = 3x, we first swap xx and yy to solve for the new yy.\newlineNew function: x=3yx = 3y
  2. Divide by 33: Next, we divide both sides of the equation by 33 to solve for yy.x3=3y3\frac{x}{3} = \frac{3y}{3}This simplifies to y=x3y = \frac{x}{3}.
  3. Inverse function form: The inverse function is now in the form y=ax+by = ax + b, where aa is 13\frac{1}{3} and bb is 00. Inverse function: y=(13)xy = \left(\frac{1}{3}\right)x

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