CAT Practice : Functions

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Functions - Unconventional Question.

Functions - Unconventional Question

    Q.8: f(x + y) = f(x)f(y) for all x, y, f(4) = + 3 what is f(–8)?
    1. 1/3
    2. 1/9
    3. 9
    4. 6

 

  • Correct Answer
    Choice B. 1/9

Explanatory Answer

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Detailed Solution

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).


Correct Answer: 1/9



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