Solving Functions: Find f+g=5 | [0,inf)

[gabby989062]

Homework Statement

Find two functions f and g such that (f+g)(x) =5 and the domain of f+g is [0,inf)

Homework Equations

The Attempt at a Solution

I am wondering if (f+g)(x) means f(x)+g(x)

If so then can i just say that f(x)=4 and g(x)=1 or f(x)=3 and g(x)=2?

 

[learningphysics]

Yes, looks right to me.

 

[gabby989062]

Thank You :!)

 

[CompuChip]

Or you could do something exciting like
$$f(x) = \sqrt{x}, g(x) = 5 - \sqrt{x}$$
or
$$f(x) = \sqrt{x} + x^2 - \frac{3 x^{12}}{1 + x}, g(x) = 5 - \sqrt{x} + x^2 - \frac{3 x^{12}}{1 + x}$$
or any other function f(x) with domain $[0, \infty[$ and define $g(x) = 5 - f(x)$.