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Find the inverse of the function.\newliney=x+3y = x + 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=x+3y = x + 3\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______
  1. Swap variables: To find the inverse of the function, we first swap the variables xx and yy. This means we replace every xx with yy and every yy with xx in the equation.\newlineNew equation: x=y+3x = y + 3
  2. Solve for y: Next, we need to solve the new equation for y. To do this, we subtract 33 from both sides of the equation to isolate y.\newlineCalculation: x3=y+33x - 3 = y + 3 - 3\newlineSimplification: x3=yx - 3 = y
  3. Find inverse function: We have now found the inverse function. The inverse function is y=x3y = x - 3, which is in the form of ax+bax + b where a=1a = 1 and b=3b = -3.

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