Question

Let f(x)=sqrt x+1 , and g(x)=x^2-1. find the composite function (f(g(x))

Answer 1

`\begin{gathered} f(x)=\sqrt[]{x^2\text{ + 1}}^{} \\ g(x)=x^2\text{ - 1} \\ (f(g(x))\text{ = ?} \end{gathered}`
`\begin{gathered} f(g(x)\text{ = }\sqrt[]{x^2\text{ - 1 + 1}} \\ f(g(x))\text{ = }\sqrt[]{x^2} \\ f(g(x))\text{ = x} \end{gathered}`