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Determine the point(s) at which the given function f(x) is continuous. f(x)=|8x-3|+6sin(2x) The answer is (-infinity,infinity). Anyone know how to get this answer?

Mathematics
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Hard to really give a mathematical explanation. Basically it's just that there are no points of discontinuity. No way to divide by zero, or take the square root of a negative number It doesn't switch signs or equal infinity anywhere besides infinity. It's not a piecewise function.
Thank you. I guessed at the answer and got it right, but thought I should understand why it was right.

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