Q. Find the inverse of the function.y=−x−3Write your answer in the form ax+b. Simplify any fractions.y= ______
Swap x and y: To find the inverse of the function, we first swap x and y. This gives us the equation x=−y−3.
Solve for y: Next, we need to solve for y. To do this, we add 3 to both sides of the equation to isolate the term with y. This gives us x+3=−y.
Multiply by −1: Now, we multiply both sides of the equation by −1 to solve for y. This gives us −x−3=y.
Found Inverse Function: We have found the inverse function, which is y=−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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