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4.9.4Test (TST):Transforming FunctionsTest Algebra II

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1. Show that the function is the inverse of F(x) = 2x – 3. Step 1: The function notation F(x) can be written as a variable in an equation. Is that variable x ... or y? y Write F(x) = 2x – 3 as an equation with your chosen variable. (2 points) y=2x-3 Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points) x=2y-3 x=2y-3 +3 +3 X+3 = 2y 2 2 y = x+3 2 Step 3: Show that is the inverse of F(x) = 2x – 3. Write your answer in inverse notation. (2 points) 2. Graph the inverse of the function, then determine if the inverse is a function. Part I: The graph of F(x) is shown below. On the same grid, draw the graph of the inverse of F(x). (2 points) [Show More]

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