Mathematics

Mathematics

Problem

1. Does the function f(x)=x2−8x+15x2−9f(x)=\frac{x^{2}-8 x+15}{x^{2}-9} have any discontinuities? If so, where and what type? (A) An essential discontinuity at x=3x=3 and at x=−3x=-3 (B) A removable discontinuity at x=3x=3 and at x=−3x=-3 (C) A removable discontinuity at x=3x=3 and an essential discontinuity at x=−3x=-3. (D) The function is continuous for all real numbers. (A) An essential discontinuity at x=3x=3 and at x=−3x=-3 (B) A removable discontinuity at x=3x=3 and at x=−3x=-3 (C) A removable discontinuity at x=3x=3 and an essential discontinuity at x=−3x=-3. (D) The function is continuous for all real numbers.

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