2.5.13-eg-1 - x = 4 makes the denominator of f zero so that...

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Example Where is the function f ( x ) = 1 x - 4 continuous? Solution: The f is continuous where its denominator is real-valued and nonzero. We know that x - 4 is well-defined as a real number for all x such that x - 4 0 = x 4 , or in interval notation, x [4 , ) . However, the value of
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Unformatted text preview: x = 4 makes the denominator of f zero, so that value must be eliminated. Therefore the function f is continuous on the interval (4 , ∞ ) . Note: In WeBWorK notation, the answer is: (4,INF) ....
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