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x - 36 (a) Show that, for x * - 6, x +6 =X - 6. (b) Are the functions f(x) and g(x) equal? x2

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x - 36 (a) Show that, for x * - 6, x +6 =X - 6. (b) Are the functions f(x) and g(x) equal? x2 - 36 f ( x ) = X +6 , X7 -6 g(X) = X-6, XER From the factored form of the numerator, it can be seen that dividing the numerator and denominator by (x + 6) results in the expression x - 6. (b) Select the correct choice below and, if necessary, fill in the answer boxes within your choice. (Use a comma to separate answers as needed.) O A. Yes, because f(x) and g(x) have the same values for all values of x. O B. No, because when x = , f(x) = while g(x) is undefined. O C. No, because on the interval , g(x) = while f(x) is undefined. O D. No, because when x = , g(x) = while f(x) is undefined. O E. No, because on the interval , f(x) = while g(x) = O F. No, because when x = , f(x) = while g(x) = O G. No, because on the interval , f (x) = while g(x) is undefined

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