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Find the inverse of the function.\newliney=4x−3y = 4x - 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=4x−3y = 4x - 3\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=4y−3x = 4y - 3.
  2. Solve for y: Next, we need to solve for yy. To do this, we add 33 to both sides of the equation to isolate the term with yy. This gives us x+3=4y−3+3x + 3 = 4y - 3 + 3.
  3. Isolate yy: Simplifying the equation, we get x+3=4yx + 3 = 4y. Now we need to get yy by itself on one side of the equation.
  4. Divide by 44: To isolate yy, we divide both sides of the equation by 44. This gives us (x+3)/4=y(x + 3) / 4 = y.
  5. Final Inverse Function: The equation (x+3)/4=y(x + 3) / 4 = y is now in the form y=ax+by = ax + b, where aa is 1/41/4 and bb is 3/43/4. So the inverse function is y=(1/4)x+(3/4)y = (1/4)x + (3/4).

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