Match: P = f − 1 ( 3 ) for f : [ 2 , ∞ ) → ( − ∞ , 4 ] , f ( x ) = x ( 4 − x ) ; Q = a if ln ( a 2 − a − 1 ) ∣ cos 2 x ∣ + ⌊ a 3 /3 ⌋ sin ( 3 π x ) has rational period; R = min ( ∣ x + 1∣ + ∣ x − 2∣ +

Question

Match: P = f − 1 ( 3 ) for f : [ 2 , ∞ ) → ( − ∞ , 4 ] , f ( x ) = x ( 4 − x ) ; Q = a if ln ( a 2 − a − 1 ) ∣ cos 2 x ∣ + ⌊ a 3 /3 ⌋ sin ( 3 π x ) has rational period; R = min ( ∣ x + 1∣ + ∣ x − 2∣ + ∣ x − 3∣ ) ; S = number of solutions of 1 + sin x = − e − x .

TestHub · Accepted Answer

P = 3 , Q = 2 , R = 4 , S = 0 .

Mathematics - Functions Question with Solution | TestHub

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