If f(x) is an increasing function and g(x) is a decreasing function, then which of the following is correct for the real values p and q ? Given that f - Mathematics MCQ Mathematics Mock Test - 5 2026 | ExamTest.live

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If f (x) is an increasing function and g (x) is a decreasing function, then which of the following is correct for the real values p and q ? Given that for these values of x, both functions are defined.

Solution & Step-by-step Explanation

1. A function f (x) is increasing if for p > q, f (p) > f (q) .2. A function g (x) is decreasing if for p > q, g (p) < g (q) .Based on these definitions, if p > q, then f (p) > f (q) and g (p) < g (q) .This matches Option A.

Try it yourself before checking the explanation above.

If f (x) is an increasing function and g (x) is a decreasing function, then which of the following is correct for the real values p and q ? Given that for these values of x, both functions are defined.

If p > q ⟹ f (p) > f (q) and g (p) < g (q)

If p > q ⟹ f (p) < f (q) and g (p) < g (q)

If p > q ⟹ f (p) < f (q) and g (p) > g (q)

None

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