Answer:
x < 15
Step-by-step explanation:
Important: The domain of y = ln x is (0, ∞).
Thus, to answer this question, we set the argument 12 - 4x/5 = to 0 and solve for x:
12 - 4x/5 = 0,or 12 = 4x/5.
Mult. both sides by 5, we clear out the fractions: 60 = 4x.
Solving for x: x = 60/4 = 15
Supposing we let x = 14, is 12 - 4x/5 = to 0
Choose a test number based upon this 15: 14 is smaller and 16 is larger.
Let x = 14. Is 12 - 4x/5 ≥ 0, as it must be?
Is 12 - 4(14)/5 ≥ 0?
Is 60 - 56 ≥ 0? Yes. Thus, the domain of the given function includes all real numbers less than 15.
