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In Math / Senior High School | 2024-10-19

What's More The given function is m(x)=-3,0 1. Complete the Table of Values m(x)=x-3 X-2-10 12 "Inverse Mania" 4. Solve for m(x) = 5. Complete the Table of Values for for m-1(x) -2-1012​

Asked by Anyar35

Answer (1)

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.

Answered by ampoloquiodanielsr | 2024-10-19