Find the hole in the graph of the function ( f(x) = frac{(x - 2)(x + 3)}{(x - 2)(x + 4)} )

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Accepted Answer

Step:1 ：First, we simplify the function. We notice that (x - 2) appears in both the numerator and the denominator, we can cancel this out.Step:2 ：After simplification, our function becomes ( f(x) = frac{x + 3}{x + 4} ). However, the original function was undefined at (x = 2).Step:3 ：Thus, (x = 2) is a hole in the graph.

Answer

Step: 1 ：First, we simplify the function. We notice that (x - 2) appears in both the numerator and the denominator, we can cancel this out.Step: 2 ：After simplification, our function becomes ( f(x) = frac{x + 3}{x + 4} ). However, the original function was undefined at (x = 2).Step: 3 ：Thus, (x = 2) is a hole in the graph.

Find the hole in the graph of the function \( f(x) = \frac{(x - 2)(x + 3)}{(x - 2)(x + 4)} \)

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