CAT Functions

 
Question
Qn. f(x + y) = f(x)f(y) for all x, y, f(4) = +3 what is f(-8)?
A.      1/3
B.      1/9
C.      9
D.      6
Answer Choice: B
Explanatory Answer
f(x + 0) = f(x) f(0)
f(0) = 1
f(4 + -4) = f(0)
f(4 + -4) = f(4) f(-4)
1 = +3 x f(-4)
f(-4) = 1/3
f(-8) = f(-4 + (-4)) = f(-4) f(-4)
f(-8) = 1/3 x 1/3 = 1/9

Answer Choice (B)

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