The correct answer for the Function in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
Meaning of Function
A function can be defined as a set of outputs that its varying is dependent on the inputs.
In this case the functions given have a designated outputs.
Analysis
(f+g)(x) = f(x) + g(x) - because its held by an addition
(f+g)(x) = [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
In conclusion, The correct answer for the question in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
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