Question

Which equation describes a relationship such that x = 0 must be excluded from the domain?

y = 2x
y = 2 + x
y = 2/x
y = x²

Answer 1

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Answer 2

Answer:

The answer is the option

$y=2/x$

Step-by-step explanation:

Let's verify all the cases to determine the solution to the problem.

case A) we have

$y=2x$

The domain is the interval-------> (-∞,∞)

The domain is all real numbers

case B) we have

$y=2+x$

The domain is the interval-------> (-∞,∞)

The domain is all real numbers

case C) we have

$y=2/x$

we know that

the denominator can not be equal to zero

so

The domain is the interval-------> (-∞,0) ∩ (0,∞)

The domain is all real numbers except the number zero

case D) we have

$y=x^{2}$

The domain is the interval-------> (-∞,∞)

The domain is all real numbers