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What are the domain and range of the function?
f(x) =1/3x^7

What Are The Domain And Range Of The Function Fx 13x7 class=

Sagot :

The answer si the Second One

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:

brainly.com/question/21027387

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