Graph f(x)= 2-x and g(x)= x, then %3D graph the sum of two functions (f+g)() sáme set of axes. on the

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Graph f(x)= 2-x and g(x)= x, then
graph the sum of two functións (f +g)(x on the
sáme set of axes.
Transcribed Image Text:Graph f(x)= 2-x and g(x)= x, then graph the sum of two functións (f +g)(x on the sáme set of axes.
Expert Solution
Step 1

Given

fx=2-x

Comparing it with slope-intercept form 

slope,m=-1 and y-intercept =2

So one point in graph is (0,2) and when y=0, x will be

fx=2-x    0=2-x    x=2

So the two points to draw graph are (0,2) and (2,0)

For g(x)=x

When x=1,y=1 and x=2,y=2

Using the points (1,1) and (2,2) graph can be drawn

Step 2

To find f+gx the property used is

f+gx=fx+gx

So here it will be

f+gx=fx+gx               =2-x+x               =2

The graph this will be parallel to X-axis where y=2

 

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