Consider, f(x)=3 ( ⁻¹ x-2 )^2- cosec ⁻¹ x . Identify which of the following statement(s) is(are) correct?

Step-by-step solution

f(x)=3 ( ⁻¹ x-2 )^2+ ⁻¹ x - 2 Range = [ - 4 , 3 ^2 4 ) _ x 2⁺ 3 ( ⁻¹ x-2 )^2- cosec ⁻¹ x + 4 (x-2) = _ t 0⁺ 3 ( ⁻¹ t )^2- cosec ⁻¹ t+2 - 4 t = _ t 0⁺ ( 3 ( ⁻¹ t )^2 ( t )^2 - ⁻¹( t+1 )- ⁻¹(1) t )= 1 4