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NeTakaya
2 years ago
9

Can someone help me? i really need it :)

Mathematics
1 answer:
garri49 [273]2 years ago
3 0
I hope you can understand my messy handwriting ‍

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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
1. The numbers ______ and _____ are respectively the additive and multiplicative identities of rational numbers
miss Akunina [59]

Answer:  0 and 1, in that order

The numbers <u>   0   </u> and <u>   1   </u> are respectively the additive and multiplicative identities of rational numbers.

===========================================================

Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

8 0
3 years ago
Plz need this asap ONLY ANSWER IF YOU KNOW IT will give brainliest
Natalija [7]

Answer:

<u>1</u> would be your y axis

Step-by-step explanation:

1. so the y axis is up and down

2. the x axis is horizontal side to side

3. the x axis is 0

4. the y axis is positive 1

5. So your anwser would be in the format (x,y)

6. It is (0,<u>1</u>)

7. It is positive

8. Plz name me brainliest I would really appreciate it if you need more help just ask me

Thank You

8 0
3 years ago
Suppose PV =NRT, where P=8, V=2X, N=2 and R=2X.you are given X=3. Solve for T
FromTheMoon [43]

Answer:  T = 4

Step-by-step explanation:

1. Write all the variables down

P = 8  V = 2X  N = 2  R = 2X  X = 3

2. Since you know that X = 3 substitute it in to find V and R

V = 2X = 2(3) = 6

R = 2X = 2(3) = 6

3. Find PV

PV = P x V

     = 8 x 6

     = 48

4. Find NRT

NRT = N x R x T

       = 2 x 6 x T

       = 12 x T

       = 12T

5. Find T

PV = NRT

48 = 12T

12T = 48

divide both sides by 12

  T = 48 ÷ 12

  T = 4

7 0
3 years ago
Let f(x)=x^2+5x-36. Enter the x-intercepts of the quadratic function in the boxes.
Kipish [7]

Answer:

X Intercepts: (4,0) and -9,0

Step-by-step explanation:

8 0
3 years ago
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