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Find the inverse of the function.\newliney=4x+9y = 4x + 9\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Q. Find the inverse of the function.\newliney=4x+9y = 4x + 9\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  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+9x = 4y + 9.
  2. Isolate y term: Next, we need to solve for yy. To do this, we subtract 99 from both sides of the equation to isolate the term with yy. This gives us x−9=4yx - 9 = 4y.
  3. Divide by 44: Now, we divide both sides of the equation by 44 to solve for yy. This gives us x−94=y\frac{x - 9}{4} = y.
  4. Rewrite as inverse function: The equation (x−9)/4=y(x - 9) / 4 = y can be rewritten as y=(1/4)x−(9/4)y = (1/4)x - (9/4). This is the inverse function in the form ax+bax + b.

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