CAT Practice : Functions

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Value of Functions

Value of f(x)

    Q.24: If , for all x ≥ 0 and f(x) is a positive-valued function and f(6) = 81, f(2) = 4, find the value of f(4).
    1. 8
    2. 18
    3. 25
    4. 28

 

  • Correct Answer
    Choice B. 18

Detailed Solution

Taking x = 5,
……………(1)
Taking x = 4,

=) f(5) = f(2) *
Putting f(5) in equation (1),
We get (f(4))2 = f(2)f(6) = 81 x 4
f(4) = 9 x 2 = 18
Answer choice (B).


Correct Answer: 18



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