Maths
Grade-10
Easy

Question

Find the domain of the function g left parenthesis x right parenthesis equals square root of x plus 3 end root

  1. x less or equal than negative 3 space
  2. x greater or equal than negative 3 space
  3. x less or equal than 3 space
  4. x greater or equal than 3 space

hintHint:

the domain of a function is the set of inputs accepted by the function.

The correct answer is: x greater or equal than negative 3 space


    Given,  g left parenthesis x right parenthesis equals square root of x plus 3 end root
    We know square root of a function is always positive.
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow square root of x plus 3 end root greater or equal than 0 end cell row cell not stretchy rightwards double arrow x plus 3 greater or equal than 0 end cell row cell x greater or equal than negative 3 end cell end table
    Therefore, domain of the function g left parenthesis x right parenthesis equals square root of x plus 3 end root is x greater or equal than negative 3 space.

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