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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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Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

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The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

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According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

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N/A

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Step-by-step explanation:

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