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If f(x)=sqrt(x^2+a x+4) is defined for a...

If `f(x)=sqrt(x^2+a x+4)` is defined for all `x ,` then find the value of `adot`

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The correct Answer is:
[-4, 4]
`f(x)=sqrt(x^(2)+ax+4)` is defined for all x. Therefore,
`x^(2)+ax+4 ge 0` for all `x`
or `D=a^(2)-16 le 0`
or `a in [-4,4]`
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