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Find the inverse of the function.\newliney=−x−3y = -x - 3\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney=y = ______

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Find the inverse of a linear functionright chevron icon

Full solution

Q. Find the inverse of the function.\newliney=−x−3y = -x - 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=−y−3x = -y - 3.
  2. Solve for y: Next, we need to solve for y. To do this, we add 33 to both sides of the equation to isolate the term with y. This gives us x+3=−yx + 3 = -y.
  3. Multiply by −1-1: Now, we multiply both sides of the equation by −1-1 to solve for yy. This gives us −x−3=y-x - 3 = y.
  4. Found Inverse Function: We have found the inverse function, which is y=−x−3y = -x - 3. However, this is the same as the original function, which indicates that the original function is its own inverse.

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