What is the length of CD in the figure below? Show your work.
1 answer:
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<h3>Answer: x = 1</h3>
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Explanation:
- Step 1) Start at -1 on the y axis.
- Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
- Step 3) Mark the point of intersection. Let's call it point A.
- Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.
All of this is shown in the diagram below.
Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.
Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.
Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.