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Scrat [10]
2 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]2 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]2 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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Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu
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7 0
1 year ago
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Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she
NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

s\leq 15

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = \frac{1}{15} of a blanket per day.

Maximum number of days she has = 60.

To find the number of days Dancie can skip out of 60 days and still reach her goal.

Let s represent the number of days she can skip.

Number of days left to crochet = (60-s) days

At rate of  \frac{1}{15} of a blanket per day, number of blankets Dancie can corchet in (60-s) days can be given as :

⇒ \frac{1}{15}(60-s)

Simplifying using distribution.

⇒ (\frac{1}{15}.60)-(\frac{1}{15}.s)

⇒ 4-\frac{s}{15}

Dancie needs to crochet a minimum of 3 blankets to reach her goal.

Thus, the inequality can be given as:

4-\frac{s}{15}\geq 3

Solving the inequality for s

Subtracting 4 both sides.

4-4-\frac{s}{15}\geq 3-4

-\frac{s}{15}\geq -1

Multiplying both sides by -15.

-15(-\frac{s}{15})\leq -15(-1) [On multiplying by a negative number the sign of inequality reverse]

∴ s\leq 15

Thus, Dancie can skip a maximum of 15 days.

5 0
2 years ago
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