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Chapter 2: Q. 3 (page 68)

The domain of the variable in the expression x-3x+4is _________.

Short Answer

Expert verified

The domain of the given expression is{x|x≠-4}.

Step by step solution

01

Step 1. Given Information

In the given question we have to find the domain of the variable in the expressionx-3x+4is _________.

02

Step 2. The given expression is x-3x+4.

The given function tells us to divide x-3by x+4. Since division by 0is not defined, the denominator x+4can never be 0, so xcan never equal -4.

The domain of the given function is

{x|x≠-4}

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Most popular questions from this chapter

Exploration Graph y=x3. Then on the same screen graph y=(x-1)3+2. Could you have predicted the result?

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.]

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

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.

h(x)=x-2

Determine whether each relation represents a function. For each function, state the domain and range.

-1,0,2,3,4,0
See all solutions

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