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For which of the following functions is f(ab) = f(a) * f(b)?
  1. f(x) = x2
  2. f (x) = √x
  3. f (x) = 2x
  • a)
    I only
  • b)
    I, II and III
  • c)
    III only
  • d)
    I and II
Correct answer is 'D'. Can you explain this answer?
Most Upvoted Answer
For which of the following functions is f(ab) = f(a) * f(b)? f(x) = x2...
Ex

The function f(x) = ex satisfies the property f(ab) = f(a) * f(b) because:

f(ab) = eab = ea * eb = f(a) * f(b)

Using the laws of exponents, we can see that eab = ea * eb, which means that f(ab) = f(a) * f(b) for this function.
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For which of the following functions is f(ab) = f(a) * f(b)? f(x) = x2...
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