Asked by akhona mbendeni on May 10, 2024
Verified
Describe the domain of the function. f(x) =−3xf ( x ) = \sqrt { - 3 x }f(x) =−3x
A) x≤−3x \leq - 3x≤−3
B) x≥−3x \geq - 3x≥−3
C) x≥0x \geq 0x≥0
D) x≤0x \leq 0x≤0
E) all real numbers
Domain
The set of all possible input values for which a given function is defined.
Function
A mapping from a set of inputs to a set of acceptable outputs, where each input is allocated to a sole output.
- Understand the concept of the domain of a function.
Verified Answer
EH
Ellena HerradaMay 14, 2024
Final Answer :
D
Explanation :
The square root of a negative number is not a real number, therefore the expression under the root sign must be non-negative. We have −3x≥0- 3x \geq 0−3x≥0 if and only if x≤0x \leq 0x≤0 , since both 0 and any negative number squared are non-negative. Therefore, the domain of the function is x≤0x \leq 0x≤0 , which is equivalent to choice D.
Learning Objectives
- Understand the concept of the domain of a function.