# Composite Functions:I am wondering how to find f+g, f-g, fg, and f/g?Problem: f(x)=2x+3, g(x)=x-1

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Composite Functions:

I am wondering how to find f+g, f-g, fg, and f/g?

Problem: f(x)=2x+3, g(x)=x-1

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Step 1

The problem is concerned with the standard operations on two functions to produce a third function

Step 2

The required combinations are natural extensions of arithmetic operations (addition, etc) help_outlineImage Transcriptionclosef.g are functions: then by definition (ftg)(x) f(x)t g(x); (fg)x)= f(x)g(x) f f(x) -(x) = g(x) fullscreen
Step 3

Determining (f+g)(x)... help_outlineImage TranscriptioncloseGiven f(x) 2x+3, g(x) = x-1 Then (f+g (x)= f(x) + g(x) =2x 3+x-1 3x2 (f-g x) f(x)g(x) 2x 3-x1 =x+4 fullscreen

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