The sum of both functions is: [tex]x^2+2x-5[/tex]
Further explanation:
The given functions have to be added to find (f+g)(x)
Given
[tex]f(x)=2x+3\\g(x)=x^2-8\\(f+g)(x)=f(x)+g(x)\\=2x+3+(x^2-8)\\=2x+3+x^2-8\\=x^2+2x-5[/tex]
The sum of both functions is: [tex]x^2+2x-5[/tex]
Keywords: Functions, Operations on functions
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