Chapter 4, Problem 10RE

(a)

To determine

To graph: The function, $g(x)=\sqrt{x+1}$.

(b)

To determine

To calculate: If the function defines $g(x)$ is one-to-one function of $x$.

(c)

To determine

To calculate: The domain of the function $g(x)=\sqrt{x+1}$.

(d)

To determine

To calculate: The Range of the function $g(x)=\sqrt{x+1}$.

(e)

To determine

To calculate: The equation for an inverse function $g(x)=\sqrt{x+1}$.

(f)

To determine

To graph: The graph of $g(x)=\sqrt{x+1}$ and $g^{-1}(x)=x^2-1$.

(g)

To determine

To calculate: Domain of the inverse function $g^{-1}(x)=x^2-1$.

(h)

To determine

To calculate: Range of the inverse function $g^{-1}(x)=x^2-1$.