FInd the domain of each function. State the answers using both inequaltiy and interval notations. Show all work.

Question

f(x)=6√3x-5

f(x)= 4/x²-9

Please help me. I am struggling.

Answer 1

f(x) = √(3x-5) Domain = {x l 3x-5 ≥ 0} = {x l x ≥ 5/3}

f(x) = 4 / (x² - 9) Domain = {x l x² - 9 ≠ 0} = {x l x ≠ 3, -3}