What is (f.g)(x)?

f(x)=x^3 - 4x + 2
g(x)=x^2 + 2

What Is (f.g)(x)? F(x)=x^3 - 4x + 2 G(x)=x^2 + 2

Answers

Answer 1

Answer:

f(g(x)) =

[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]

Step-by-step explanation:

put g(x) instead of any x in f(x)

[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]


Related Questions

The number of strokes in which a hole is designed to be played. [ Choose ] The person who is farthest away from the hole is said to have _____.

Answers

Answer:

the answer is more strokes since the farther away you are the more strokes it takes

Hope This Helps!!!

Can someone help with 13 and 14

Answers

Step-by-step explanation:

Question 13 :-

-4c³ . 7d² . 2c -²( -4c ³ - ² ) . 7d² -4c . 7d²-28cd²

Question 14 :-

n-⁴ w⁰n-⁴ . 1 n -⁴

Answer:

13.) -56cd²

14.) n-⁴

Step-by-step explanation:

Question 13 :- -4c³• 7d² • 2c-²

-4c³• 7d² • 2c-²

Calculate the products.

-4•7•2 c³ d²c-²-56c³ d²c-²

Multiplying the terms with the same base by adding their exponents.

-56c³-²d²

Calculate the exponents.

-56cd²

Question 14 :- n-⁴w⁰

n-⁴w⁰

Any non - zero expression raised to the power 0 equals 1.

n-⁴ 1

Any expression multiplied by 1 remains the same.

n-⁴

Can someone help me with this math homework please!

Answers

SrretrdeEtddexesesesezwzwzez

OPTION A is the correct answer.

Find the roots of the equation x^2 + 16 = 0.

Answers

Answer:

+4 and -4

Step-by-step explanation:

x² + 16=0

x=-√16

x=-4 or +4

Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?

Answers

It will take Mary 115 minutes/ 1 hour and 55 minutes to run 10 miles.

If < A and < B are vertical angles, and < A is 43 ° , then what is the measure of < B?

Select one:
a. 47 °
b. 137 °
c. 21 °
d. 43 °

Answers

Answer:

d

Step-by-step explanation:

vertical angles are congruent , so

∠ B = ∠ A  = 43°

What is the multiplicative rate of change for the exponential function f(x) = 21
2

Answers

I’m not sure but you should search it up

Write the equation of 2 lines passing through the point (2, 14).

Answers

Answer:

Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.

Does the graph shown below represent y as a linear function of x?

Answers

Answer: No, it is not a linear function

Explanation:

We can see that it's a function because it passes the vertical line test, but it's not linear. To be linear, it needs to be one single straight line only (instead of composed of multiple pieces of different straight lines). This graph is considered a piecewise function.

So if your teacher asked "is this a function?" then the answer would be "yes". However, the "linear" portion is what makes the final answer "no".

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: AAS

Answers

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

When the angle of elevation of the sun is
42°, fnd the length of the shadow, to the
nearest foot, cast by a tree 60 feet tall.

Answers

Answer:

The shadow length is 67

Step-by-step explanation:

solution shown in the picture

Can someone help me with this math homework please!

Answers

Answer:

option 2option 1

Step-by-step explanation:

value of x must be any real number except 5

that is option 2.

value of y can be any real number

that is option 1.

Based on the property of function that is one input must have exactly one output.

the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.

Answer:

Step-by-step explanation:

Property: Each element in the input set should have one and only element in the output set.

1) Value of x can be  any real number except 5

2) Value of y can be  any real number except -2

Which congruence theorem can be used to prove BDAS DBC?​

Answers

Answer:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.

Answer:

A. HL

Step-by-step explanation:

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Answer:

ssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

¼. 1000

Step-by-step explanation:

25% = 25/100

= 1/4

Therefore,

25% of 1,000 is the same as

1/4. 1000

Find the surface area of the
triangular prism.
7 cm
cm
7 cm
9 cm
5 cm
[?] sq cm
Please HELP ME

Answers

Hello,

I am going to calculate all the surface areas of the prism:

1) the bases: 2*(6*9)/2=64 (cm²)

2) perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

What does it means sq ? (for a foreigner) ?

All surface areas= 64+115=179 (cm²)

What is triangular prisms?

A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangular prism are not rectangular, the prism is oblique.

Given

the bases: 2*(6*9)/2=64 (cm²)

perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

To know more about triangular prisms refer to:

https://brainly.com/question/3160908

#SPJ2

By rounding to 1 significant figure, estimate
7.57X3.81

Answers

Answer:

29

Step-by-step explanation:

7.57×3.81

round up to one decimal point=7.5×3.8

7.5×3.8 = 28.5

28.8 rounded up to 29

GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)

Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.

Answers

The profit percentage = 16.3%

The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.113
.133
.16
.11
.10
Find the probability that -2

Answers

Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.

Given:

The probability distribution for a random variable x is given in the table.

x     :    -5          -3            -2            0           2          3

P(x) :  0.17      0.13       0.33       0.16       0.11      0.10

To find:

The probability of -2.

Solution:

From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

[tex]P(-2)=0.33[/tex]

Therefore, the probability of -2 is 0.33.

Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.

Answers

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

(c) 0.34 L = _________________ ml ​

Answers

Answer:

340 ml

Step-by-step explanation:

2
What is the value of x in the equation 7x + 2y = 48, when y = 3?

Answers

Answer: 6

Step-by-step explanation: 7x+2y=48

7x+2(3)=48

7x+6=48

7x=48+6

7x=42

x=42/7

x=6

Find the value of Angle X

Answers

The angle based on the diameter is always right

Then <ABC=90 and ∠BAC=∠ACB=45° ;  and ∠BCD=180-45=135 then                x=(180-135):2=22,5°

what is the equation of the circle shown in the graph?

Answers

Answer:

(x + 6)² + (y - 4)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 6, 4 ) and r = 3 , then

(x - (- 6) )² + (y - 4)² = 3² , that is

(x + 6)² + (y - 4)² = 9

9 should be the answer

The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many pies did the club make?
Which equation can be used to solve this problem? Select all that apply.

Answers

Yes hhhgfduujhcffykkbvfgy Jajdud fdtiobds

What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2

Answers

Answer:

[tex]h(x)= 9x - 18[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Required

The inverse

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Replace f(x) with y

[tex]y = \frac{1}{9}x + 2[/tex]

Swap x and y

[tex]x = \frac{1}{9}y + 2[/tex]

Subtract 2

[tex]x - 2= \frac{1}{9}y[/tex]

Multiply 9

[tex]9x - 18 = y[/tex]

Rewrite as:

[tex]y = 9x - 18[/tex]

So:

[tex]h(x)= 9x - 18[/tex]

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

options are on the picture:)

Answers

Answer:-

The option B is the right answer.

Solution:-

[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]

[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]

Cual es!!! Es examen ayudaaaaa

Answers

hello babyyy hpi how you

2 points The compound interest on a certain sum for the first year for 4 % is Rs. 25. The compound interest for 2 years at the same rate on the same sum will be ...​

Answers

Answer:

The interest for the two years is Rs 51.

Step-by-step explanation:

Rate, R = 4 %

Compound interest for 1 year = Rs 25

Let the sum is P.

For first year,

[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]

For 2 year

[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]

Interest is

Interest = Rs 676 - Rs 625 = Rs 51

represent the following additions on a number line 3+5=8 3+(-5)

















Answers

Answer:

8 &-2

Step-by-step explanation:

<-------------------------->

-2-1 0 1 2 3 4 5 6 7 8

________________

-2<8 and 8>-2

A chord is 6cm from the centre of a circle of radius 14cm. calculate the length of the chord with workings​

Answers

Answer:

25.28 cm

Step-by-step explanation:

The chord is 6cm away from the centre of the circle . And the radius of the circle is 14 cm . We know that the perpendicular from the centre bisects the chord .

This will form a right angle triangle with the distance between centre and the code as its perpendicular and the length of radius as hypotenuse .

[tex]\implies Base^2+Perpendicular^2=Hypontenuse^2 \\\\\implies b^2 + (6cm)^2=(14cm)^2 \\\\\implies b^2 + 36cm^2= 196cm^2 \\\\\implies b^2 = 196cm^2-36cm^2 \\\\\implies b^2 = 160cm^2 \\\\\implies b=\sqrt{160cm^2}\\\\\implies b = 12.64 cm [/tex]

Hence the required answer is 12.64 × 2 = 25.28cm .

Hello,

Let's use the Pythagorian 's theorem.

The length of the chord = 8*V10=25,2982.... (cm)

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