91Ó°ÊÓ

Find the (implied) domain of the function. $$b(\theta)=\frac{\theta}{\sqrt{\theta-8}}$$

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) shift up 1 unit; (2) reflect across the \(x\) -axis

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) reflect across the \(y\) -axis; (2) shift left 1 unit; (3) shift up 2 units

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) shift left 3 units; (2) vertical stretch by a factor of \(2 ;(3)\) shift down 4 units

Find the (implied) domain of the function. $$ u(w)=\frac{w-8}{5-\sqrt{w}} $$

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) shift right 3 units; (2) horizontal shrink by a factor of \(2 ;\) (3) shift up 1 unit

The volume \(V\) enclosed by a cube, in cubic centimeters, is a function of the length of one of its sides \(x,\) when measured in centimeters. This relation is expressed by the formula \(V(x)=x^{3}\) for \(x>0\). Find \(V(5)\) and solve \(V(x)=27\). Interpret your answers to each. Why is \(x\) restricted to \(x>0 ?\)

For \(n\) copies of the book Me and my Sasquatch, a print on-demand company charges \(C(n)\) dollars, where \(C(n)\) is determined by the formula $$ C(n)=\left\\{\begin{array}{rll} 15 n & \text { if } & 1 \leq n \leq 25 \\ 13.50 n & \text { if } & 2550 \end{array}\right. $$ (a) Find and interpret \(C(20)\). (b) How much does it cost to order 50 copies of the book? What about 51 copies? (c) Your answer to \(72 \mathrm{~b}\) should get you thinking. Suppose a bookstore estimates it will sell 50 copies of the book. How many books can, in fact, be ordered for the same price as those 50 copies? (Round your answer to a whole number of books.)