Find the domain of √16x-24

Question

PLEASE HELP!!!!

Answer 1

f(x) = √(16x-24)

 

f(x) is undefined if 16x-24 < 0

 

So, domain = {x l 16x-24 ≥ 0}

 

                = {x l x ≥ 3/2}

 

                = [3/2, ∞)

Answer 2

√(16x - 24)

Argument may not be negative

16x - 24 > 0

16x > 24

x > 1.5