Finite Math Examples
f(x)=x2+2x+1f(x)=x2+2x+1 , g(x)=xg(x)=x
Step 1
Step 1.1
Replace the function designators with the actual functions in f(x)-gxf(x)−gx.
x2+2x+1-(x)x2+2x+1−(x)
Step 1.2
Subtract xx from 2x2x.
x2+x+1x2+x+1
x2+x+1x2+x+1
Step 2
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)(−∞,∞)
Set-Builder Notation:
{x|x∈ℝ}
Step 3