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Mathematics

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for f(x) equals 2x+1 and g(x) equals x2 minus 7 Find (f+g) (x)

Answer :

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Today at 11:20 AM

[tex](f+g)(x)=x^2+2x-6[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=2x+1\\g(x)=x^2-7[/tex]

We need to find (f+g)(x)

Finding (f+g)(x):

[tex](f+g)(x)=f(x)+g(x)\\(f+g)(x)=2x+1+x^2-7\\Rearranging:\\(f+g)(x)=x^2+2x+1-7\\Adding\,\,like\,\,terms:\\(f+g)(x)=x^2+2x-6[/tex]

So, [tex](f+g)(x)=x^2+2x-6[/tex]

Keywords: Composite Function

Learn more about Composite Function at:

brainly.com/question/10772025
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