What is/are the domain restriction(s) for f(x, y) = ln(2x²y)? A) x 0, y $\neq$ 0 B) x 0, y 0 C) x $\neq$ 0, y$\neq$ 0 D) No restrictions exist E) x $\neq$ 0, y 0

Question

What is/are the domain restriction(s) for f(x, y) = ln(2x²y)? A) x > 0, y $\neq$ 0 B) x > 0, y > 0 C) x $\neq$ 0, y$\neq$ 0 D) No restrictions exist E) x $\neq$ 0, y > 0

Quizplus · Accepted Answer

The function f(x,y) has two logarithmic terms, ln(2x) and ln(y). The domain restrictions for each logarithmic term are x > 0 and y > 0, respectively. Therefore, the overall domain restriction for f(x,y) is x > 0 (to ensure that ln(2x) is defined) and y > 0 (to ensure that ln(y) is defined), which is equivalent to option E.

What Is/are the Domain Restriction(s) for F(x, Y) = Ln(2x2y) ≠\neq=

What Is/are the Domain Restriction(s) for F(x, Y) = Ln(2x²y) $\neq$