Question

1. The function, g, is graphed below. EXPLAIN how to find x, if g(x) = -1 in sufficient detail

Answer 1

Answer:  x = 1

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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.