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Jace T.

asked • 27d

Please help me with math

Let f be the function defined by f(x) = (cx-5x^2)/(2x^2+ax+b) where a, b, and c are constants. The graph has a vertical asymptote at x=1, and f has a removable discontinuity at x = -2.


[Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.]


(a) show that a=2 and b= -4


(b) find the value of c. justify your answer.


(c) to make f continuous at x = -2, f(-2) should be defined as what value? Justify your answer.


(d) Write an equation for the horizontal asymptote to the graph of f. Show the work that leads to your answer.



*any help is appreciated.

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