Chapter 4.1, Problem 62PE

(a)

To determine

To Graph: The equation of the equation $f(x)=\sqrt{x-2}$

(b)

To determine

The graph of is f a one-to-one function

(c)

To determine

Domain of function $f(x)=\sqrt{x-2}$ in interval notation.

(d)

To determine

Range of function $f(x)=\sqrt{x-2}$ in interval notation.

(e)

To determine

The inverse function $f^{-1}(x)$ of an equation $f(x)=\sqrt{x-2}$

(f)

To determine

Why the restriction $x\ge 0$ is placed on $f^{-1}$ for the function $f(x)=\sqrt{x-2}$

(g)

To determine

To Graph: Graph $y=f(x)$ and $y=f^{-1}(x)$ on the same co-ordinate system that is :$f(x)=\sqrt{x-2}$ and $f^{-1}(x)=x^2+2;x\ge 0$

(h)

To determine

Domain of $f^{-1}(x)=x^2+2;x\ge 0$ in interval notation.

(h)

To determine

Range of $f^{-1}(x)=x^2+2;x\ge 0$ in interval notation.