Let [f(x) = 2 ^ - 1x + 4 ^ - 1x - 3x^2 - 2x + 10], [x [ - 1,1]].

Question

Let $$f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10$$, $$x \in [ - 1,1]$$. If [a, b] is the range of the function f, then 4a - b is equal to :

Accepted Answer

$$f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10\,\forall x \in [ - 1,1]$$

Solutions · 1