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Chapter 2: Q. 7 (page 68)

If the domain of fis all real numbers in the interval [0,7]and the domain of g is all real numbers in the interval [-2,5], the domain of f+gis all real numbers in the interval _________.

Short Answer

Expert verified

If the domain of fis all real numbers in the interval[0,7]and the domain of g is all real numbers in the interval[-2,5], the domain off+gis all real numbers in the interval [0,5]

Step by step solution

01

Step 1. Given information 

If the domain of fis all real numbers in the interval [0,7]and the domain of g is all real numbers in the interval [-2,5], the domain off+g is all real numbers in the interval _________.

02

Step 2. Main Idea:

Domainoff+g=Domainoff鈭�Domainofg

03

Step 3. It is given that:

Domain of f=[0,7]

Domain of g=[-1,5]

Therefore,

f+g=[0,7]鈭�[-1,5]f+g=[0,5]

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A wire of length xis bent into the shape of a circle.

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