Multiple Choice Question (MCQ)

If f(x)=\sqrt{x^2-4} , what is the domain?

  1. ×

    All the real numbers

  2. ×

    All x shch that x \geq 2

  3. ×

    All x shch that x \leq -2

  4. ×

    All x shch that -2 \leq x \leq 2

  5. ✓

    All x shch that x \leq -2 or x \geq 2

Collected in the board: Function

Steven Zheng posted 3 years ago

Answer

  1. The inside of a radical cannot be negative. So,


    x^2-4 \geq 0


    Solve the inequity. We get,

    x \leq -2 or $$ x \geq 2

Steven Zheng posted 3 years ago

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