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For the functions f(x) = x2 − 4 and g(x) = -x + 2, determine the coordinates of point B, which is the negative x-intercept of f(x).

Mathematics

ScanSolve AI Answer

Here are the solutions to the problems based on the provided graphs of f(x)=x2−4f(x) = x^2 - 4 and g(x)=−x+2g(x) = -x + 2.

4.1 Determine the coordinates of the following:

4.1.1 B
B is an xx-intercept of f(x)f(x). To find xx-intercepts, set f(x)=0f(x) = 0.

x2−4=0x^2 - 4 = 0 (x−2)(x+2)=0(x-2)(x+2) = 0 x=2orx=−2x = 2 \quad \text{or} \quad x = -2

From the graph, B is the negative xx-intercept.
The coordinates of B are $\boxed{(-

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