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Find the inverse of the function. y=x+3 y = x + 3 Write your answer in the form ax+b ax + b . Simplify any fractions. y= y = _____

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Full solution

Q. Find the inverse of the function. y=x+3 y = x + 3 Write your answer in the form ax+b ax + b . Simplify any fractions. y= y = _____
  1. Swap xx and yy: Swap xx and yy in the equation y=x+3y = x + 3 to begin finding the inverse function.\newlineNew equation: x=y+3x = y + 3
  2. Subtract 33 from both sides: Subtract 33 from both sides of the equation x=y+3x = y + 3 to solve for yy.x−3=y+3−3x - 3 = y + 3 - 3 Simplify the equation to get x−3=yx - 3 = y.
  3. Write the inverse function: Write the inverse function in the form y=ax+by = ax + b using the result from the previous step.\newlineInverse function: y=x−3y = x - 3

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