Step-by-step explanation:1. Understanding the Function: - The function is given as m(x) = x - 3 . This means that for any input value 'x', you subtract 3 to get the output value 'm(x)'. 2. Completing the Table of Values for m(x): x m(x) = x - 3 -2 -2 - 3 = -5 -1 -1 - 3 = -4 0 0 - 3 = -3 1 1 - 3 = -2 2 2 - 3 = -1 3. Finding the Inverse Function: - To find the inverse function, m⁻¹(x) , we follow these steps:- Replace m(x) with y : y = x - 3 - Swap x and y : x = y - 3 - Solve for y :- x + 3 = y - Replace y with m⁻¹(x) : m⁻¹(x) = x + 3 4. Solving for m(x) = 5: - We want to find the value of 'x' that makes m(x) = 5 .- Set the function equal to 5: x - 3 = 5 - Solve for 'x': x = 8 5. Completing the Table of Values for m⁻¹(x): x m⁻¹(x) = x + 3 -2 -2 + 3 = 1 -1 -1 + 3 = 2 0 0 + 3 = 3 1 1 + 3 = 4 2 2 + 3 = 5 Key Points: - Inverse Functions: The inverse of a function essentially "undoes" the original function. If m(a) = b , then m⁻¹(b) = a .- Table of Values: A table of values is a way to represent the relationship between the input and output of a function.