Posted by Maya on .
Perform the indicated operation and state the domain. Let f(x)=x1 and g(x)=x+1
f(x)  g(x)
Heres my work
(x1)  (x+1)
xx=0 and 11=2
Answer =2 because the x's cancel each other out.
How do i find the domain when there is no x in the answer?

Algebra 
MathMate,
The domain of a constant (2) is ℝ.
The other way to figure it out is
the domain of f(x) is ℝ
the domain of g(x) is ℝ
From the closure property of subtraction of real numbers, the domain of f(x)g(x) is also ℝ. 
Algebra 
Maya,
Thanks. What does that symbol mean? and how do i write it?

Algebra 
MathMate,
The symbol means all real numbers, or all numbers between ∞ to +∞ (negative infinity to positive infinity).
It is written as a capital R, with a double stroke on the first. 
Algebra 
Maya,
OK THANKS!

Algebra :) 
MathMate,
You're welcome!