Question

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?

Answer 1

Answer:

$x\geq 3$ is the inequality to find the Domain of f(x)

Step-by-step explanation:

When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.

Therefore, in this case , for

$f(x)=\sqrt{x-3}$

we ask for the x-values that verify:

$x-3\geq 0\\x\geq 3$

where we have isolated x on one side of the equal sign.

This would be the definition of the Domain of the function.