1. Algebra of function

For each pair of functions, f and g, determine the domain of f + g

f(x) = 3x + 7, g(x) =2/(x-5)

Is this the same with finding (f + g)(x)?

2. Originally Posted by imperical56
For each pair of functions, f and g, determine the domain of f + g

f(x) = 3x + 7, g(x) =2/(x-5)

Is this the same with finding (f + g)(x)?
$\text{dom} (f + g) = \text{dom} \, f \cap \text{dom} \, g$.

3. will this be the right answer?
( -œ, œ) U (-œ, 5) U (5, œ)

where œ means infinity

4. Originally Posted by imperical56
will this be the right answer?
( -œ, œ) U (-œ, 5) U (5, œ)

where œ means infinity
No.

It's (-œ, 5) U (5, œ). Think about it.