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Find the inverse of the function.\newliney=4x−4y = 4x - 4\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−4y = 4x - 4\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−4x = 4y - 4.
  2. Solve for y: Next, we need to solve for y. To do this, we add 44 to both sides of the equation to isolate the term with yy. This gives us x+4=4y−4+4x + 4 = 4y - 4 + 4.
  3. Isolate y term: Simplifying the equation, we get x+4=4yx + 4 = 4y. Now we have isolated the term with yy on one side of the equation.
  4. Divide by 44: To solve for yy, we divide both sides of the equation by 44. This gives us (x+4)/4=4y/4(x + 4) / 4 = 4y / 4.
  5. Final Inverse Function: Simplifying the fractions, we get y=x+44y = \frac{x + 4}{4}. This can also be written as y=x4+1y = \frac{x}{4} + 1, which is the inverse function in the form ax+bax + b.

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