Try searching the forum its a Old and discussed one. It can be effectively solved by the method of substitution and POE.tonebeeze wrote:If function f(x) satisfies f(x) = f(x^2) for all x, which of the following must be true?
a. f(4) = f(2) f(2)
b. f(16) - f(-2) = 0
c. f(-2) + f(4) = 0
d. f(3) = 3f(3)
e. f(0) = 0
OA = B
a. f(4) = f(4^2) = f(16)
f(2) = f(2^2) = f(4)
We donot know what will be the result outside the function so Incorrect.
b. f(-2) = f(4)
f(4) = f(16)
Thus, f(16) - f(-2) = 0 Correct
c. f(-2) = f(4)
Not f(-2) = -f(4) Incorrect
d. f(3) = f(9) Not 3f(3)
We donot know what will be the result outside the function so Incorrect.
e. f(0) = f(0) Not 0
We donot know what will be the result outside the function so Incorrect.
