Mathematics · Functions and Exponents
Consider the functions f and g defined for non-zero positive integers p and q as follows: f(p, q) = p × p × ... × p (up to q terms) = pq, with f(p, 1) = p g(p, q) = p^(p^(p^...)) up to q terms, with g(p, 1) = p Which one of the following relations is correct?
- 1f(3, 2) > g(3, 2)
- 2g(2, 1) ≠ f(2, 1)
- 3f(g(2, 2), 2) < f(2, g(2, 2))
- 4f(2, 2) = g(2, 2)✓
Correct answer
f(2, 2) = g(2, 2)
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