If f(x)=\sqrt{x^24} , what is the domain?

×
All the real numbers

×
All x shch that x \geq 2

×
All x shch that x \leq 2

×
All x shch that 2 \leq x \leq 2

✓
All x shch that x \leq 2 or x \geq 2
If f(x)=\sqrt{x^24} , what is the domain?
All the real numbers
All x shch that x \geq 2
All x shch that x \leq 2
All x shch that 2 \leq x \leq 2
All x shch that x \leq 2 or x \geq 2
The inside of a radical cannot be negative. So,
x^24 \geq 0
Solve the inequity. We get,
x \leq 2 or $$ x \geq 2