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
yanalaym [24]
3 years ago
9

What is (f⋅g)(x)? f(x)=x3−4x+2 g(x)=x2+2 Enter your answer in the box. (f⋅g)(x)=

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer: x^{6} + 6x^{4} + 8x^{2} + 2

Step-by-step explanation:

f(x) = x^{3} - 4x + 2

g(x) = x^{2} + 2

To find fg(x) , we have

fg(x) = f( x^{2} + 2 )

The next thing is that , we will substitute  x^{2} + 2 for the value of x in f(x) , so we have:

(x^{2}+2) ^{3} - 4( x^{2} + 2) + 2

which will give

x^{6} + 6x^{4} + 8x^{2} + 2

Therefore :

fg(x) = x^{6} + 6x^{4} + 8x^{2} + 2

You might be interested in
Find the anhle measure x in the figure​
Margarita [4]

Answer:

x=25°

Step-by-step explanation:

<u>Sum of angles of a triangle equals 180°</u>

  • x + 10° + 2x + 15° + 3x + 5° = 180°
  • 6x + 30° = 180°
  • 6x = 180° - 30°
  • 6x = 150°
  • x = 150°/6
  • x = 25°
5 0
3 years ago
Find the GCF 0f 12 and 18
melisa1 [442]

Answer:

  6

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

  18 ÷ 12 = 1 r 6

  12 ÷ 6 = 2 r 0 . . . . the GCF is 6

__

You can also factor the numbers and see what the common factors are.

  18 = 2·3·3

  12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

8 0
2 years ago
Please help ASAP will mark brainiest
yawa3891 [41]

Answer:

Yes, they are proportional.

Step-by-step explanation:

Using this from what I found helped me answer the question, and if you compare their ratios, they are both going to show that 75% each class have texted:

Proportional: When quantities have the same relative size. In other words they have the same ratio.

All you would have to do is compare the amount of students that texted(x) to the amount of students there are total in the class(y). When you compare them in a y:x format, it will all lead up to the results showing that 75% of both groups have texted.

5 0
3 years ago
For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).
Fiesta28 [93]

Answer:

\boxed{\sf (f-g)(x) = -{x}^{2}  + 3x + 7}

Given:

\sf f(x) = 3x + 1 \\ \sf g(x) =  {x}^{2}  - 6

To find:

\sf (f - g)(x) = f(x) - g(x)

Step-by-step explanation:

\sf \implies(f - g)x = f(x) - g(x) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (3x + 1) - ( {x}^{2}  - 6) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (3x + 1)  + (-  {x}^{2}  + 6) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 3x + 1 -  {x}^{2}  + 6 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = - {x}^{2}  + 3x + 1 + 6 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  -{x}^{2}  + 3x + 7

8 0
3 years ago
How to solve 7+3=4+_
andrey2020 [161]
7+3=4+6 Both numbers equal 10
8 0
3 years ago
Other questions:
  • (a + b)2 for a = 2 and b = 3.
    10·2 answers
  • Another name for Spherical Geometry is
    12·1 answer
  • Ceramic tiles sell for $13.08 for a box of 12 tiles. Find the price per tile.
    7·1 answer
  • Can someone answer this question please? Am I correct?
    5·1 answer
  • What is the table of values for 2x+3y=24
    9·1 answer
  • When constructing inscribed polygons and parallel lines, how are the steps similar?A. A protractor and ruler are used to take ac
    14·1 answer
  • Factor this equation 75k^2+30k=-3
    10·2 answers
  • Im borxd wanna talk:)
    14·1 answer
  • Which fractions has the least common denominator of 24 ​
    5·1 answer
  • The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope o
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!