To determine if f(x) = 2x + 5 and g(x) are inverses of each other, we can use ordered pairs of points.

First, we need to find the inverse function of f(x). To do this, we swap the x and y variables and solve for y. In this case, we have g(x) = (x - 5) / 2.

Next, we can choose a few ordered pairs of points from f(x) and plug them into g(x). If the resulting y-values match the original x-values, then f(x) and g(x) are inverses of each other. For example, if we choose the ordered pair (2, 9) from f(x), we can plug 2 into g(x) and get (2 - 5) / 2 = -3/2. Since the y-value (-3/2) does not match the original x-value (2), f(x) and g(x) are not inverses of each other.

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To determine if f(x) = 2x + 5 and g(x) are inverses of each other, we can use ordered pairs of points.

First, we need to find the inverse function of f(x). To do this, we swap the x and y variables and solve for y. In this case, we have g(x) = (x - 5) / 2.

Next, we can choose a few ordered pairs of points from f(x) and plug them into g(x). If the resulting y-values match the original x-values, then f(x) and g(x) are inverses of each other. For example, if we choose the ordered pair (2, 9) from f(x), we can plug 2 into g(x) and get (2 - 5) / 2 = -3/2. Since the y-value (-3/2) does not match the original x-value (2), f(x) and g(x) are not inverses of each other.

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To determine if f(x) = 2x + 5 and g(x) are inverses of each other, we can use ordered pairs of points.

First, we need to find the inverse function of f(x). To do this, we swap the x and y variables and solve for y. In this case, we have g(x) = (x - 5) / 2.

Next, we can choose a few ordered pairs of points from f(x) and plug them into g(x). If the resulting y-values match the original x-values, then f(x) and g(x) are inverses of each other. For example, if we choose the ordered pair (2, 9) from f(x), we can plug 2 into g(x) and get (2 - 5) / 2 = -3/2. Since the y-value (-3/2) does not match the original x-value (2), f(x) and g(x) are not inverses of each other.

In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other.

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