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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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Need help with this math problem
ladessa [460]

Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

8 0
3 years ago
What is the slope of the line represented by the equation y = = 4x+12<br> 2<br> N/P
Elena L [17]

Answer:

4/1

Step-by-step explanation:

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5 0
3 years ago
List the single-digit divisors of 2100.<br> I really need help
liberstina [14]

Answer:

  • 1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

<u>Prime factors of 2100 are:</u>

  • 2100 = 2*2*3*5*5*7

<u>The single-digit divisors are:</u>

  • 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7

-----------------------------------------------------------------

<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>

  • 2100/1 = 2100, yes
  • 2100/2 = 1050, yes
  • 2100/3 = 700, yes
  • 2100/4 = 525, yes
  • 2100/5 = 420, yes
  • 2100/6 = 350, yes
  • 2100/7 = 300, yes
  • 2100/8 = 262.5, no
  • 2100/9 = 233.33, no

So all the numbers from 1 to 7

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Answer:

13.5 hours

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5 0
3 years ago
Read 2 more answers
What is the intersection of AD and CD? Explain.
timofeeve [1]

Answer:

Point D

Step-by-step explanation:

AD and CD are a line

The intersection of two lines is a point

The two lines intersect at point D

8 0
3 years ago
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