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Chapter 1: Problem 20
Find the domain of each function. $$g(x)=\frac{1}{\sqrt{x+2}}$$
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The regular price of a computer is \(x\) dollars. Let \(f(x)=x-400\) and \(g(x)=0.75 x\) a. Describe what the functions \(f\) and \(g\) model in terms of the price of the computer. b. Find \((f \circ g)(x)\) and describe what this models in terms of the price of the computer. c. Repeat part (b) for \((g \circ f)(x)\) d. Which composite function models the greater discount on the computer, \(f^{\circ}\) g or \(g \circ f\) ? Explain.
Given an equation in \(x\) and \(y,\) how do you determine if its graph is symmetric with respect to the \(y\) -axis?
Determine whether each statement is true or false If the statement is false, make the necessary change(s) to produce a true statement. Prove that if \(f\) and \(g\) are even functions, then \(f g\) is also an even function.
Will help you prepare for the material covered in the next section. Find the perimeter and the area of each rectangle with the given dimensions: a. 40 yards by 30 yards b. 50 yards by 20 yards.
Find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$for the given function. $$f(x)=\sqrt{x-1}$$
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