The correct answer would be an option (B) the domain and range of the function i.e.
The domain is (-∞, 0) U (0, ∞)
The range is (-∞, 0) U (0, ∞)
What are the domain and range of the function?
The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Given function that f(x) = 1 / (3x)⁷
Any x value that makes the denominator zero is excluded from the domain.
Let's determine any excluded x value.
⇒ 3x⁷ = 0
Divide both sides by 3.
⇒ x⁷ = 0
Take the 7th root of both sides.
⇒ x = 0
So the only excluded x value is 0 .
Thus, the domain is (-∞, 0) U (0, ∞)
Whatever the big or small value of an x we substitute in, f(x) cannot be zero.
The range is (-∞, 0) U (0, ∞)
Learn more about the domain and the range here:
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