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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 values of `adot`

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