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NAME DATE PERIOD Lesson 4 Homework Practice Solve Equations with Variables on Each Side Solve each equation. Show your work (inverse operations). Check your solution. 1. 9 m + 14 2m2. 13x 32 + 5×3.
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01
To fill out and show your work inverse, follow these steps:
02
Start by writing down the original equation that you want to find the inverse for.
03
Replace the function notation with 'y'. For example, if your original equation is f(x) = 2x + 3, replace f(x) with y.
04
Switch the x and y variables. This means that all instances of x will be replaced with y, and all instances of y will be replaced with x.
05
Rearrange the equation to solve for y. This may involve simplifying, combining like terms, or isolating y on one side of the equation.
06
Replace y with f^(-1)(x) to denote the inverse function.
07
Write the final equation for the inverse function, which will be in the form f^(-1)(x) = ...
Who needs show your work inverse?
01
Show your work inverse is needed by students studying mathematics, particularly those learning about functions and their inverses.
02
It is also useful for anyone who wants to understand the mathematical relationship between a function and its inverse, or for individuals working in fields that involve mathematical calculations and functions.
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