Are the Sum of Two Functions Always Equal to the Sum of their Individual Parts?

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where f and g are finctions of x

please thanks
 
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you mean "functions"...
 
that's a definition as far as I am concerned. How are you defining (f+g)(x)?
 
This appears to be the definition of the sum of two functions. It is valid as long as f and g have the same domains and ranges.
 
ObsessiveMathsFreak said:
This appears to be the definition of the sum of two functions. It is valid as long as f and g have the same domains and ranges.

They don't need the same range.

Try sin(x) + x.
 

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