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
A package of 4 pairs of insulated gloves costs ​$33.16. What is the unit price of the pairs of gloves​?
juin [17]

Answer:

$8.29

Step-by-step explanation:

Divide 4 by 33.16.

5 0
3 years ago
Mr Barton was answering the problem below the question
polet [3.4K]
No the student is incorrect the answer is actually 332
4 0
3 years ago
Ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5
barxatty [35]

Answer:

  2.5

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic:

  ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5

4 0
3 years ago
Find mAC<br><br> Help me please
aleksandrvk [35]

Answer:

130 degrees

Step-by-step explanation:

arc CA is 50 since the angle is 50 and then you would subtract from 180 since it is half the circle which leaves you with C, or 130 degrees.

5 0
2 years ago
I need help on number 5
makkiz [27]

Answer:

C. Skewed

Step-by-step explanation:

You can tell because the box in this box and whisker plot is on the right side of the line meaning that it is skewed.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Between x = 2 and x = 3, which function has the same average rate of change as y = 2x ?
    10·1 answer
  • Find the sum or product of 6*89
    10·1 answer
  • Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he c
    10·2 answers
  • A hostel having strength of 300 students requires on an average 36000 L of water per day. It has a tank measuring 10 m × 8 m × 9
    15·1 answer
  • Please help me answer this with an explanation
    8·2 answers
  • What is the least common denominator of 1/4, 3/7, 1/11
    5·1 answer
  • Write 0.751 in words
    6·2 answers
  • Describe a real world situation that could be modeled by dividing two rational numbers
    14·1 answer
  • Find the value of X:
    12·1 answer
  • -2(-9x + 6y) = ?x +?y <br> ?????
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!