Find the domain fast plz! Q.(b) f ( x ) = cos sin x + sin - 1 1 + x 2 2 x Share with your friends Share 0 Brijendra Pal answered this Hi, fx= cossinx+sin-11+x22xnow we need to find domain of cossinx and sin-11+x22x and then intersect them so sin-11+x22x is defined for -1≤1+x22x≤1So take 1+x22x≥-1 1+x22x+1≥0 so x2+2x+12x≥0 , x+12x≥0 since x+12≥0 , being a squared quantityso 1x≥0 x∈0,∞now for 1+x22x≤1 ⇒ 1+x2-2x2x≤0 ⇒ x-12x≤0 since x-12≥0 being a squared quantity1x≤0 , so x ∈-∞,0so domain is x∈-∞,0∪0,∞or x∈R - 0and for cossinx is is defined for all values of x so x∈Rso combining the domain will be x∈R - 0 0 View Full Answer