Find the domain of the function. f(x) = 1/x - 2 + 4/x + 8

Question

f(x)= 1 over x-2 + 4 over x+8. 

Answer 1

f(x) = 1/(x - 2) + 4/(x + 8 )

 

Domain is all reals numbers except x=-8 and x=2 (x-2≠0, x+8≠0)

D(f)=(-∞, -8)∪(-8, 2)∪(2, +∞).