• # question_answer Let $f(x)=\frac{2}{x+1},\,\,g(x)=\cos x$ and $h(x)=\sqrt{x+3}$ then the if range of the composite function fogoh, is A) ${{R}^{+}}$                                 B) $R-\{0\}$C) $[1,\,\,\infty )$            D) ${{R}^{+}}-\{1\}$

Let $f$ image of $goh$ image,$fogoh=F(x)=f[goh(x)]$ $F(x)=\frac{2}{\cos \sqrt{x+3}+1}$ Now$x+3\ge 0$and$-1<\cos \sqrt{x+3}\le 1$ $\sqrt{x+3}\ne (2n-1)\pi ,\,\,n\in N$