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Chapter 2: Q. 2 (page 126)

Find the domain of each function and evaluate each function at $x = - 1$ .
$f (x) = \sqrt{4 - 5 x}$

Short Answer

Expert verified

The domain of the function $f (x)$ is $\{x | x \leq \frac{4}{5}\}$

The value at $x = - 1$ is $3$ .

Step by step solution

Step 1. Find the domain of the function.

$f (x) = \sqrt{4 - 5 x}$

For domain,

$4 - 5 x \geq 0 4 \geq 5 x x \leq \frac{4}{5}$

Step 2. Find value of f(x) at x=-1

$f (x) = \sqrt{4 - 5 x} f (- 1) = \sqrt{4 - 5 (- 1)} f (- 1) = \sqrt{4 + 5} f (- 1) = \sqrt{9} f (- 1) = 3$

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Most popular questions from this chapter

Write the point–slope form of the line with slope 5 containing the point (3, -2).

Exploration Graph $y = x^{3}, y = x^{5}$ , and $y = x^{7}$ on the same screen. What do you notice is the same about each graph? What do you notice that is different?

If $(3, 6)$ is a point on the graph of $y = f (x)$ , which of the following points must be on the graph of $y = f (- x)$ ?

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

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True or False

The graph of $y = - f (x)$ is the reflection about the $x$ -axis of the graph of $y = f (x)$ .

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Find the domain of each function and evaluate each function at x=-1.f(x)=4-5x

Short Answer

Step by step solution

Step 1. Find the domain of the function.

Step 2. Find value of f(x) at x=-1

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Find the domain of each function and evaluate each function at $x = - 1$ .
$f (x) = \sqrt{4 - 5 x}$