Answered

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Let the domain of the given function be all real numbers. Find all possible values for theconstant an(q) = Vq2 + a +3

Sagot :

[tex]n(q)\text{ = }\sqrt{(q^2}\text{ + a )+ 3}[/tex]

We need to find the values of "a" that result in the function being real. For that the number inside the square roots must be greater or equal to zero, therefore:

[tex]q^2+a\text{ }\ge0[/tex]

We need to isolate the "a" variable on the left side now.

[tex]a\text{ }\ge-q^2[/tex]

The value of "a" is anything greater or equal to -q².

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