what is the domain y= square root of 1-4x

Question

what is the domain

 

y=square root of 1-4x

Answer 1

1. The domain of a function is the set of all possible values of "x"
2. For y = √x the domain is all x ≥ 0
3. If you divide or multiply both sides of inequality by negative number, you have to "switch" the sign of inequality to opposite.
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y = √(1-4x) ----> 1 - 4x ≥ 0...(2) ----> -4x ≥ -1 ----> (-4x)/(-4) ≤ -1/(-4) ...(3)
----> x ≤ 1/4 . The domain is ( -∞ , 1/4 ]