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Chapter 2: Q. 7 (page 124)

Find the domain of each function.

f(x)=2-x

Short Answer

Expert verified

The domain of the function is {x|x鈮�2}.

Step by step solution

01

Step 1. Given information 

We have been given a function f(x)=2-x.

We have to find its domain.

02

Step 2. Find the values that make the function defined

Square root function is defined for nonnegative numbers.

Therefore, (2-x)should be non-negative.

2-x鈮�02-x+x鈮�0+x(Addxonbothsides)2鈮�xx鈮�2

Therefore, the domain is {x|x鈮�2}.

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Most popular questions from this chapter

An equilateral triangle is inscribed in a circle

of radius r. See the figure. Express the circumference Cof the circle as a function of the length x of a side of the triangle.

[Hint: First show that r2=x23.]

True or False The independent variable is sometimes

referred to as the argument of the function.

In Problems 19-26,write the function whose graph is the graph of y=x3but is:

Shifted to the left 4units

The function f(x)=x2 is decreasing on the interval _____.

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.

g(x)=-x3
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