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Scrat [10]
3 years ago
12

F(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.

Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

Step-by-step explanation:

f(x)=\dfrac{1}{x}\qquad\text{domain}:x\neq0\\\\g(x)=x-4\qquad\text{domain}:x\in\mathbb{R}\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\Rightarrow (g\circ f)(x)=\dfrac{1}{x}-4\qquad\text{domain}:\ x\neq0\\\\(g\circ f)(0)-\text{we can't calculate it because 0}\\.\qquad\qquad\text{ is not in the function domain.}\\\\\text{The expression}\ \dfrac{1}{0}\ \text{hasn't number sense}

Angelina_Jolie [31]3 years ago
5 0

Answer:

No: heres the sample:

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

have a good day :)

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If the cone has the same width with the cup, the height of the cone will be 6 inches.

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The cup is cylindrical.

Therefore,

volume of the cup = πr²h

where

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Hence,

volume of the cup = π × 1.5² × 2 = 4.5π

If the cone has the same width of the cup, the height of the cone can be calculated as follows;

4.5π  = 1  /3 πr²h

4.5π = 1 / 3 × π × 1.5² × h

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h = 4.5π / 0.75π

h = 6 inches

learn more on volume here: brainly.com/question/22996610

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3 0
2 years ago
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128 and 74.

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7 0
3 years ago
) Solve the inequality n -7&gt; -4.<br><br><br><br> HELP ASAP DUE IN A COUPLE HOURS
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8 0
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Please show me the work!
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Answer:

9/2π cm/s

Step-by-step explanation:

Volume of the spherical balloon V= 4/3πr³

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