** **

**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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