Precalculus Examples
f(x)=1x , g(x)=x2 , g(f(x))
Step 1
Set up the composite result function.
g(f(x))
Step 2
Evaluate g(1x) by substituting in the value of f into g.
g(1x)=(1x)2
Step 3
Set the denominator in 1x equal to 0 to find where the expression is undefined.
x=0
Step 4
The domain is all values of x that make the expression defined.
Interval Notation:
(-∞,0)∪(0,∞)
Set-Builder Notation:
{x|x≠0}
Step 5