Question

Use functions f(x) and g(x) to answer the question.
f (x) = √5-x ; g(x) = √x+5
What is the domain of (f/g) (x)
Option A: {x|x <5}
B: {x | x ≤5}
C: {x | -5 ≤ x <5}
D: {x | -5 < x ≤ 5}

Answer 1

im quesing it's option D

Answer 2

domain of \(f\) is \(5-x\geq 0 \iff x\leq 5\)
domain of \(g\) is \(x+5\geq 0\iff x\geq 5\)
but since \(g\) is in the denominator it cannot give zero so ...

Answer 3

yeah D is a good choice

Answer 4

Thank you