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
RSB [31]
1 year ago
12

Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x-1 g(x) = 3x write the expressions fo

r (f-g)(x) and (f+g)(x) and evaluate (f * g)(-1).
Mathematics
1 answer:
denis-greek [22]1 year ago
6 0

The result of the operations between the two functions are listed below:

  1. (f - g) (x) = x - 1
  2. (f + g) (x) = 7 · x - 1
  3. (f · g) (- 1) = 15

<h3>How to perform operations between real functions</h3>

In this question we find two functions defined as two linear equations, with which we must make three kinds of operations and evaluate the resulting expression in the third case. The addition, subtraction and multiplication of two functions are defined below:

Addition

(f + g) (x) = f(x) + g(x)

Subtraction

(f - g) (x) = f(x) - g(x)

Multiplication

(f · g) (x) = f(x) · g(x)

Now we proceed to find the result for each case:

(f - g) (x) = (4 · x - 1) - (3 · x)

(f - g) (x) = 4 · x - 1 - 3 · x

(f - g) (x) = x - 1

(f + g) (x) = (4 · x - 1) + 3 · x

(f + g) (x) = 7 · x - 1

(f · g) (x) = (4 · x - 1) · (3 · x)

(f · g) (x) = 12 · x² - 3 · x

(f · g) (- 1) = 12 · (- 1)² - 3 · (- 1)

(f · g) (- 1) = 12 + 3

(f · g) (- 1) = 15

To learn more on operations for functions: brainly.com/question/14996787

#SPJ1

You might be interested in
Jose runs 3 mikes in 28 minutes. At the same rate, how many miles would he run in 42 minutes?​
My name is Ann [436]

Answer:

4.5 \: miles

Step-by-step explanation:

3 \: miles \: in \: 28 \: minutes.

x \: miles \: in \: 42 \: minutes.

28x=42 \times 3

28x=126

\frac{28x}{28}=\frac{126}{28}

x=\frac{9}{2}

8 0
2 years ago
Read 2 more answers
Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measur
Ket [755]

Step-by-step explanation:

The initial image of the photo is 2 in by 4 in.  The mat is 4 in by 6 in.

The new image is dilated by a scale of 2.  So we double the dimensions.  The new photo is 4 in by 8 in.  The new mat is 8 in by 12 in.

7 0
3 years ago
What is the coefficient of the second term of the polynomial? (In other words, what is B?
Scrat [10]

Answer: The coefficient of the second term of the polynomial is B=5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
2 years ago
Bijou has $72 in her savings account and plans to save $x each month for 8 months. The expression $8x+$72 represents the total a
AfilCa [17]

Answer:

 The total money in account after 8 months is $72 + $8 x

Step-by-step explanation:

Given as :

Total money available in saving account = $72

The money saves each month in account = $x

So, The money saves in account after 8 months = $x × 8 = $8 x

Let The total money in account after 8 months = $A

Or, A = money available in saving account +  money saves in account after 8 months

i.e A = $72 + $8 x

So, The total money in account after 8 months = A =$72 + $8 x

Hence,  The total money in account after 8 months is $72 + $8 x  Answer

4 0
3 years ago
Please answer in the next 20 minutes.
oee [108]

Answer:

Matt should have divided 3 by 3, not 24 by 3

Step-by-step explanation:

The mouse traveled 1/24 of a mile every hour so after 3 hours it traveled 3/24 of a mile.

8 0
3 years ago
Other questions:
  • -4-3 (6x + 9) = 41?<br> Explain what to do first and what is the answer
    13·1 answer
  • What’s the area of the trapezoid
    7·2 answers
  • Tom ate 1/4 of a pizza. he divided the leftover pizza into pieces each equal to 1/12 of the original pizza. after he gave some f
    14·1 answer
  • How do I find 6% of 179,000? (Write a proportion and show your work) - Forgot to include that proportion part.. heh
    8·1 answer
  • What is fifty-nine hundreths written in standard form
    11·1 answer
  • at 4:00 p.m. karl stands next to his house and measures his shadow and the houses shadow. karl’s shadows is 8 ft. long. the hous
    15·1 answer
  • Explain the process for finding the product of two integers
    6·1 answer
  • Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an
    6·2 answers
  • PLEASE HELP!!! I tried everything from dividing, adding, subtracting, multiplying, you name it but I can not seem to get the cor
    9·2 answers
  • Sally owns an I cream store. Each ice cream scoop contains 2/3 cups of Ice cream. Each container of Ice cream holds 80 cups. If
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!