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Chapter 2: Q. 9 (page 68)

If f(x)=x+1and g(x)=x3, then____________ =x3-(x+1).

Short Answer

Expert verified

If f(x)=x+1and g(x)=x3, then (g-f)(x)=x3-(x+1)

Step by step solution

01

Step 1. Given information 

If f(x)=x+1and g(x)=x3, then____________ =x3-(x+1)

02

Step 2. DEFINITION

The difference f-gis the function defined by

(f-g)(x)=f(x)-g(x)

03

Step 3. The value of f(x)=x+1 and g(x)=x3

(g-f)(x)=g(x)-f(x)(g-f)(x)=x3-(x+1)

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Most popular questions from this chapter

In Problems 33– 44, determine algebraically whether each function is even, odd, or neither.

F(x)=2xx

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.

f(x)=-x

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

In Problems 33– 44, determine algebraically whether each function is even, odd, or neither.

g(x)=x2+3x2-1

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)=x3-1
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