1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horsena [70]
3 years ago
8

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval no

tation.
(F o g)(x)=
Domain of f o g:

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

(f o g)(x) = \frac{4x+13}{4x+12}

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = \frac{x-4}{x-5}

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = \frac{(4x+17)-4}{(4x+17)-5}

                        = \frac{4x+13}{4x+12}

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

You might be interested in
−5/8+3/4 equals what, In fraction form.
kipiarov [429]

How to get answer by Mimiwhatsup (In Decimal Form):

-5/8+3/4\\\mathrm{Divide\:the\:numbers:}\:5\div \:8=0.625\\=-0.625+3\div \:4\\\mathrm{Divide\:the\:numbers:}\:3\div \:4=0.75\\=-0.625+0.75\\\mathrm{Add/Subtract\:the\:numbers:}\:-0.625+0.75=0.125\\=0.125

Answer in Fraction Form: \frac{1}{8}

7 0
3 years ago
the cost of 5 cans of dog food is $4.35. at this price how much do 11 cans of dog food cost explain your reasoning. ASAP
mestny [16]

Answer:

Cost of 11 cans of Dog food is $9.57

Step-by-step explanation:

Cost of 5 cans of dog food = $4.35

So to find out the cost of 11 cans of dog food at the same price, we need to calculate the price of 1 can of dog food.

<u>Calculation for finding out cost of 1 can of dog food</u>

The price $4.35 which is given is the price of 5 cans

So to find the cost of 1 can, we need to divide the given price by 5

5 Cans of dog food = $4.35

1 can of dog food = 4.35 ÷ 5

1 can of dog food = $0.87


<em><u>Now to find out the price of 11 cans, we will multiply the price of 1 can with 11</u></em>

Cost of 11 cans = 11 × $0.87

                          = $9.57

6 0
2 years ago
How do you solve the system of equations 4 x − 2 y = 1 and -4 + 4 y = -2
Dmitrij [34]

Answer: y= -2 - 1/2

Step-by-step explanation:

-4x -2y = 1

+4x       +4x

-2y = 4x + 1

/-2    /-2    /-2

y= -2 - 1/2

I think, i may be incorrect but the verbal explanation is; -4x is needed to be moved so you add 4x to both sides and 4x cancels out on the left which leaves -2y on the left (when it was moved "x" is always first). then divide all numbers by -2 to get y by itself. this gives you y= -2 - 1/2 if my calculations are correct.

4 0
3 years ago
Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formul
saveliy_v [14]

Answer:

20

Step-by-step explanation:

AB = √(-4)² + (-3)²

AB = √ 16 + 9

AB = √ 25

AB = 5

AD = 4 ; DC = 4 ; BC = 7

Perimeter = 5 + 4 + 4 + 7 = 20 units

3 0
2 years ago
Given the following data set, what is the value of the median?
Gelneren [198K]
The answer is 4.5, since 1 & 8 are in the middle you add those two numbers and divide by two so 1+8=9 and 9/2=4.5
8 0
3 years ago
Other questions:
  • MAX POINTS TO BEST ANSWER!
    8·1 answer
  • What's the answer to 6 = s/4
    13·1 answer
  • Which transformations are needed to change the parent sine function to
    11·2 answers
  • a website charges the same shipping fee on every order. the table shows the relationship between the cost of the items on the we
    13·1 answer
  • What are the least common multiples of 7 and 11
    12·1 answer
  • Which expression is equivalent to t + 4 + 3 - 2t<br><br> 1. t+7<br> 2. -t+7<br> 3. 6t<br> 4. 10t
    13·1 answer
  • 6-2x=y 14+3x=y plzzz helllllllllllllllp
    10·1 answer
  • Instructions: Find the measurement of the diagonal indicated in the following parallelogram. Please help :)
    12·1 answer
  • Look at the area model below. Write the amount<br> as an improper fraction and a mixed number.
    14·1 answer
  • What does 3(-10.50) equal
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!