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Find the inverse of the function.\newliney=5x+6y = 5x + 6\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=5x+6y = 5x + 6\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=5y+6x = 5y + 6.
  2. Solve for y: Next, we need to solve for yy. To do this, we subtract 66 from both sides of the equation to isolate the term with yy. This gives us x−6=5y+6−6x - 6 = 5y + 6 - 6.
  3. Isolate y: Simplifying the equation, we get x−6=5yx - 6 = 5y. Now we need to isolate yy by dividing both sides of the equation by 55.
  4. Divide by 55: Dividing both sides by 55 gives us (x−6)/5=y(x - 6) / 5 = y. This is the inverse function in the form y=ax+by = ax + b.
  5. Write in ax+bax + b form: To write it in the form ax+bax + b, we can express it as y=15x−65y = \frac{1}{5}x - \frac{6}{5}. This is the simplified form of the inverse function.

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