Chapter 3, Problem 10RE

(a)

To determine

To graph: The function, $g\left(x\right)=\sqrt{x+4}$ .

(b)

To determine

Whether the function, $g\left(x\right)=\sqrt{x+4}$ , is a one-to-one function or not.

(c)

To determine

The domain of the function, $g\left(x\right)=\sqrt{x+4}$ , in the interval notation.

(d)

To determine

The range of the function, $g\left(x\right)=\sqrt{x+4}$ , in the interval notation.

(e)

To determine

The inverse function equation, $g^{-1}$ , of the given function, $g\left(x\right)=\sqrt{x+4}$ .

(f)

To determine

To graph: The given function, $y=g\left(x\right)$ , and the inverse function, $y=g^{-1}\left(x\right)$ , on the same co-ordinate system.

(g)

To determine

The domain of the inverse function, $g^{-1}$ , in the interval notation if the function is $g\left(x\right)=\sqrt{x+4}$ .

(h)

To determine

The range of the inverse function, $g^{-1}$ , in the interval notation if the function is $g\left(x\right)=\sqrt{x+4}$ .