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Chapter 5: Q 3. (page 267)

What is the domain offx=x+5x2+3x-18

Short Answer

Expert verified

The domain of given function is鈩�-3,-6

Step by step solution

01

Step 1. Definition of domain

The domain of function is set of all possible values ofxthat gives real values ofy.

02

Step 2. Simplification

Given that fx=x+5x2+3x-18

鈬�fx=x+5x-3x+6

The vlue of fxexist on all real numbers except 3and -6

So domain of given function is鈩�-3,-6

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Most popular questions from this chapter

The domain of a one-to-one functiong is(-鈭�,0) , and its range is[0,鈭�). State the domain and the range ofg-1 .

Ideal Body Weight One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function

W(h)=50+2.3h-60

(a) What is the ideal weight of a 6-foot male?

(b) Express the height has a function of weight W.

(c) Verify that h=Whis the inverse of W=Whby showing that role="math" localid="1646158219737" h(W(h))=h and W(h(W))=W.

(d) What is the height of a male who is at his ideal weight of 80 kilograms?

[Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given byrole="math" localid="1646159253780" Wh=45.5+2.3(h-60).

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

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