Find the domain and range of where . (1 point) Responses domain: range: domain: Image with alt text: left parenthesis negative infinity comma 0 right parenthesis union left parenthesis 0 comma infinity right parenthesis range: Image with alt text: left parenthesis negative infinity comma negative Start Fraction 2 over 3 End Fraction right parenthesis union left parenthesis negative Start Fraction 2 over 3 End Fraction comma infinity right parenthesis domain: range: domain: Image with alt text: left parenthesis negative infinity comma 0 right parenthesis union left parenthesis 0 comma infinity right parenthesis range: Image with alt text: left parenthesis negative infinity comma Start Fraction 2 over 3 End Fraction right parenthesis union left parenthesis Start Fraction 2 over 3 End Fraction comma infinity right parenthesis domain: range: domain: Image with alt text: left parenthesis negative infinity comma 0 right parenthesis union left parenthesis 0 comma infinity right parenthesis range: Image with alt text: left parenthesis negative infinity comma 0 right parenthesis union left parenthesis 0 comma infinity right parenthesis domain: range:
It seems like there is a mistake in the options provided. The correct domain and range cannot be determined without additional information. Please provide more context or information for further assistance.
The domain and range of the given function are as follows:
Domain: (-∞, 0) ∪ (0, ∞)
Range: (-∞, -2/3) ∪ (-2/3, ∞)
To find the domain and range, we need to understand what these terms mean in the context of the problem.
The domain represents all the possible input values for a function. It determines the valid values we can plug into the function to get a meaningful result. In this case, it seems we are dealing with a function described by an image with alt text.
The range represents all the possible output values that the function can produce. It determines the set of values that the function can take on.
Now let's look at the given options:
1. Domain: (-∞, 0) ∪ (0, ∞)
Range: (-∞, 2/3) ∪ (2/3, ∞)
This means that the function's domain includes all real numbers less than 0 or greater than 0, and its range includes all real numbers less than 2/3 or greater than 2/3.
2. Domain: (-∞, 0) ∪ (0, ∞)
Range: (-∞, 2/3) ∪ (2/3, ∞)
This option has the same domain and range as the first option.
3. Domain: (-∞, 0) ∪ (0, ∞)
Range: (-∞, 2/3) ∪ (2/3, ∞)
This option also has the same domain and range as the first two options.
So, in summary, the correct answer is:
Domain: (-∞, 0) ∪ (0, ∞)
Range: (-∞, 2/3) ∪ (2/3, ∞)