Question

math 160 precalculus - algebra lecture fall 2025
homework: 2.6 hw - combinations of functions; composite functions
question list
question 20, 2.6.25
hw score: 47.5%, 19 of 40 points
points: 0 of 1
find the domain of the function
f(x)=\sqrt{x - 11}+\sqrt{x + 11}
the domain of f(x) is
(type your answer in interval notation.)

Explanation:

Step1: Domain of first square root

\( x - 11 \geq 0 \implies x \geq 11 \)

Step2: Domain of second square root

\( x + 11 \geq 0 \implies x \geq -11 \)

Step3: Intersection of domains

\( x \geq 11 \) (since \( 11 > -11 \))

Answer:

[11, ∞)