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in Differential equations by (54.8k points)

If f: R → [0, ∞) be a function satisfying the property f(x + y) - f(x - y) = f(x)[f(y) - f(-y)] for all real x and y, f′(0) = log a, f(0) = 1, then 

f(x) is 

(A) ex 

(B) 2 lnx 

(C) 4x 

(D) ax

1 Answer

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by (52.5k points)
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Best answer

Answer is (D) ax

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