Question

Which statement is true about the function f(x)= StartRoot negative x EndRoot?

Answer 1

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x >= 0

Turn x positive by multiplying both sides by -1. When you multiply an inequality by -1 you need to reverse the inequality sign:

X <= 0

Domain is all real numbers below 0 so all negative real numbers.

Answer 2

Answer:

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x >= 0

Turn x positive by multiplying both sides by -1. When you multiply an inequality by -1 you need to reverse the inequality sign:

X <= 0

Domain is all real numbers below 0 so all negative real numbers.