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Chapter 4: Q. 17 (page 241)

Solve the inequality by using the graph of the function.
Solve $R (x) \leq 0$ , where $R (x) = \frac{3 x + 3}{2 x + 4}$

Short Answer

Expert verified

The solution of the inequality is $(- 2, - 1)$ .

Step by step solution

01

Step 1. Given Information

We are given a function,

$R (x) = \frac{3 x + 3}{2 x + 4}$

02

Step 2. Graphing the function

The graph of the function is as follows,

03

Step 3. Solution of the inequality

As seen from the graph, $R (x) \leq 0$ for $(- 2, - 1)$ .

Hence the solution is $(- 2, - 1)$ .

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Most popular questions from this chapter

In Problems 57– 62, find the real zeros of f. If necessary, round to two decimal places.

$f (x) = x^{3} + 3.2 x^{2} - 7.25 x - 6.3$

In Problems 39–56, find the real zeros of f. Use the real zeros to factor f.

$f (x) = 2 x^{4} + 11 x^{3} - 5 x^{2} - 43 x + 35$

Find the domain of the rational function.

$R (x) = \frac{4 x}{x - 3}$

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

$G (x) = \frac{x^{4} - 1}{x^{2} - x}$

Find the real zeros of f. Use the real zeros to factor f.

$f (x) = x^{3} + 2 x^{2} - 5 x - 6$

See all solutions

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