If f x = t a n - 1 x 2 + 4 x + s i n - 1 x 2 + 4 x + 1 , then

Question

If f x = t a n - 1 x 2 + 4 x + s i n - 1 x 2 + 4 x + 1 , then, domain of f x contains 3 integers only, range of f x has two elements only, f x is a constant function ∀ x ∈ R, f x contains only two elements in its domain

MARKS App · Accepted Answer

∵ x 2 + 4 x ≥ 0 for the first term and 0 ≤ x 2 + 4 x + 1 ≤ 1 for the second term ∴ by both the results, there is only one possibility x 2 + 4 x = 0 ⇒ x = 0 , - 4 ∴ f x = tan - 1 ⁡ 0 + sin - 1 ⁡ 1 = π 2

Search any question & find its solution

Looking for more such questions to practice?