Question

Place the steps used to find the inverse of y=0.5x+4 In order

Answer 1

The inverse of the function y=0.5x+4 is found by interchanging x and y in the equation, solving for y, resulting in the inverse function y=2(x-4).

Step-by-step explanation:

Finding the Inverse of a Linear Equation

To find the inverse of the function y=0.5x+4, follow these steps:

1. Replace y with x in the equation, and vice versa, to reflect the inverse relation. So, the equation becomes x=0.5y+4.
2. Solve the equation for y to find the inverse function. So, subtract 4 from both sides to get x - 4 = 0.5y.
3. Finally, divide both sides by 0.5 to solve for y, resulting in y = 2(x - 4). This is the inverse function.

Each step requires algebraic manipulation to isolate y, which is a crucial part of finding the inverse.