Question

How to find the domain of a function? Show me step by step.

Answer 1

What is the function?

Answer 2

One is \[\sqrt{x-2}\]

Answer 3

you can't take the square root of a negative number

Answer 4

so x-2 can't be negative

Answer 5

this means

\[\Large x-2 \ge 0\]

solve that for x

Answer 6

But how do I know how to set it up like that? I am so confused? Why Greater than or not less than or equal to?

Answer 7

because x-2 must be either a) zero or b) positive since x-2 can't be negative

Answer 8

if x - 2 were less than or equal to zero, then x-2 would be negative...which is what we don't want

Answer 9

Okay, so it's x=2.

Answer 10

close

Answer 11

more like \[\Large x \ge 2\]

Answer 12

Okay, do you mind me trying a few and see if I end up with the correct answer?