A function is . Find its domain.
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everything comes from Square root is greater than or equal to zero.
So,
f(x) ≥ 0
==> (x+5) (x-3) (4-x) ≥ 0
Multiply by -1 both sides
==> (x + 5)(x - 3)( x - 4) ≤ 0
Critical Points :- -5 , 3 , 4
Refer to the attachment.
From the figure,
==> x € [ -5, 3 ] U [ 4, ∞ )
Attachments:
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