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
kkurt [141]
3 years ago
14

F(x) = x+ + 3 g(x) = 4x - 3 Given the functions below find (f*g)(-1)

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

(f×g)(-1) is -14.

Step-by-step explanation:

  • Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

⇒ (f×g)(x) = 4x² + 9x - 9

  • Step 2: Find (f×g)(-1) by substituting -1 in the place of x

⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9

⇒ (f×g)(-1) = 4 - 9 - 9 =-14

You might be interested in
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package wa
lukranit [14]

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

4 0
3 years ago
The LCM of 4 and 7 is____
topjm [15]
28 is the LCM of 4 and 7
4 0
3 years ago
Read 2 more answers
Describe the mistake that Jude made.
stiks02 [169]
Jude has to simplify the parenthesis first then multiply. She didn't follow PEMDAS
4 0
2 years ago
Helppppppppppppppppppppppppppppp
mafiozo [28]

Answer:

1.) x=3  2.)n= -1/4 3.) h=7

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Can i please know the asnwer
    5·1 answer
  • find the value of tan (a-b) if cos a=4/5 on the interval (270, 360) and sin b=-5/13 on the interval (270, 360)
    6·1 answer
  • Maria left at 2:00 P.M. for the beach and arrived at 6:00 P.M. If she drove 203 miles to the beach, what was her average speed p
    14·2 answers
  • The sum of two numbers is 45 and their difference is 7. Find the numbers. *
    15·1 answer
  • Much better? Pls help me if good.
    11·2 answers
  • Need help for geo..will mark brainlist
    10·1 answer
  • Minhaoh i need help go to my profile the qustion will be there
    10·2 answers
  • In a random sample of citizens in one town, 21 out of 200 people were left handed. Which of these is the best inference to
    10·1 answer
  • Here is an expression: 4•3^x
    10·1 answer
  • What is the standard form equation of the line shown below?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!