where does the function f(x)=(2x^2-7x-15)/(x^2-x-20) have a) an essential discontinuity; and b) removable discontinuity?
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Originally Posted by skeske1234 where does the function f(x)=(2x^2-7x-15)/(x^2-x-20) have a) an essential discontinuity; and b) removable discontinuity? note that the factor (x-5) in the numerator and denominator will divide out ... f(x) has a removable discontinuity, also known as a "hole", at x = 5. f(x) has a vertical asymptote, a non-removable discontinuity, at x = -4.
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