If f(x)=-x^2-1 and g(x)=x+5 then f(g(x)) =

Answers

Answer 1

Answer:

The composition of f(g(x)) is:

[tex]f(g(x)) = -x^2-10x-26[/tex]

Step-by-step explanation:

Given two functions are:

[tex]f(x) = -x^2-1\\g(x) = x+5[/tex]

we have to find the composition of f and g which can also be written as: fog(x) or f(g(x))

The method to find the composition is that we will put the function g in place of x in function f

[tex]f(g(x)) = -(x+5)^2-1\\=-(x^2+25+10x)-1\\=-x^2-25-10x-1\\=-x^2-10x-26[/tex]

Hence,

The composition of f(g(x)) is:

[tex]f(g(x)) = -x^2-10x-26[/tex]


Related Questions

HELP!!!!!!

what is the slope of (-2,-4) and (2,0)

Answers

The slope is 1.........

I really need help ASAP

Answers

I wanna say it’s C because -4+4 does equal zero. But the directions aren’t to clear. But that would be my answer.

6. If LMNO is a parallelogram, and LM =2y - 9 and NO = y-2, find the
value of 'y'.
y =

Answers

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

Opposite sides are the same length:

  LM = NO

  2y -9 = y -2

  y = 7 . . . . . . . add 9-y to both sides

What method can be used to prove the triangles below are congruent?

Not possible
ASA
AAS
SAS

Answers

Answer:

SAS

Step-by-step explanation:

Because SAS is when the angle and one side are the same lenght, and i know that the two sides are the same because of the line :)

Answer:

AAS, or Angle Angle Side

Which of the following is most likely the next step in the series

Answers

Answer:

D

Step-by-step explanation:

6 sides then 5 then 4 then there should be 3

markme brainliest

I believe it would be D. Triangle

3.1.PS-20
Question Help
A forest covers 32,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are acres of old-growth trees.
PLEASE HELP

Answers

Answer:

128.

Step-by-step explanation:

The equation we need is going to be 32,000 multiplied by 0.04% written as a decimal.

Since 0.04% written as a decimal is 0.004, the equation will be:

32000*0.004= ?

32000*0.004= 128.

I hope this helps!

[(15x5+28)+8]=
Is the answer 81
101 or 111

Answers

Answer:

111

Step-by-step explanation:

the answer is 111

111, that’s the answer 111

can you please help me please ​

Answers

Answer:

(4 , -3)

Step-by-step explanation:

Put "y" by itself on one side to isolate it

3x - y = 15

3x = 15 + y

3x - 15 = y

Substitute "y" in the second equation for "3x - 15"

x + (3x - 15) = 1

4x - 15 = 1

4x = 16

x = 4

Then, plug 4 into x in any of the equations

4 + y = 1

y = -3

(4 , -3)

How long would it take to travel 315 mi at the rate of 45 mi/h?

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

s=vt

t=s/v=315/45=7hours

What are the potential solutions to the equation?

Answers

If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0

then the answer is; 2ln(x + 3) = 0

ln[(x + 3)²] = 0      

(x + 3)² = 1

x + 3 = ±√1

x + 3 = ±1

x = 1 - 3, -1 - 3

x = -2, -1 - 3

x = -2, -4

when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.

therefore;

x = -2

hope this helps, God bless!

Answer:

c

Step-by-step explanation:

Study this incomplete image of a geometric construction. This image may result from the construction of ____

A. a line parallel to line AB through C.
B. a perpendicular to line AB.

The next step in this construction is to set the compass width to

A. line segment DC and draw an arc centered at D intersecting the second arc.
B. line segment KC and draw an arc centered at K intersecting the second arc.
C. arc IJ and draw an arc centered at K intersecting the second arc.
D. line segment CI and draw an arc centered at I intersecting the second arc.

Thank you.

Answers

Answer:

A line parallel to line AB through C & arc IJ and draw an arc centered at K intersecting the second arc

Step-by-step explanation:

This image may result from the construction of a line parallel to line AB through C.

The next step in this construction is to set the compass width to arc IJ and draw an arc centered at K intersecting the second arc.

What is Construction?

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this.

Given:

From the image we can see that there is an attempt to make a copy of angle and proceeds to draw a parallel line.

So, This image may result from the construction of a line parallel to line AB through C.

Now, the next step can be measure the arc IJ from compass and put the pointer on K with same measurement and cut the Arc.

Learn more about construction here:

https://brainly.com/question/28022501

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Add or subtract the linear expressions and simplify:

Show your work!

(6x + 9) - (4x + 11)

Answers

The answer should be 2x-2

Please help ASAP 25 pts + brainliest. please show work

Answers

Answer:

it's answer is C. .80

Step-by-step explanation:

With reference angle A

base (b) = 8

Hypotenuse (h) = 10

Now

Cosine A

= b / h

= 8 / 10

= 0.8

It is A as the answer

Step-by-step explanation:

1.multiply 8×10

2.multiply 80 ×6

3.the answer will be over 100 so it has to be A

Solve the system of linear equations by elimination x−2y=−7 3x+2y=3

Answers

Answer: (-1,3)
Explanation: Substitute 3 for y x=2x -7

x=(2)(3)-7

The solution of this system of linear equations is (3,13)

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  x−2y=−7 & 3x+2y=3

Thus solving these two equations we get -8y=-24 or y=3

Therefore x=13

Hence, The solution of this system of linear equations is (3,13)

Learn more about linear equations here:

https://brainly.com/question/545403

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Which statement is true?

Answers

Answer:

Step-by-step explanatmkjion:

The Correct statements is [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

To determine which statement is true, let's evaluate each statement one by one:

[tex]\sqrt[m]{x} * \sqrt[m]{y} = 2\sqrt[m]{xy}[/tex]

This statement is false. The correct product of two nth roots ([tex]\sqrt[m]{x}[/tex] and [tex]\sqrt[m]{y}[/tex]) is [tex]\sqrt[m]{x*y}[/tex], not 2[tex]\sqrt[m]{x*y}[/tex].

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

This statement is true. When raising an nth root to a power, you can simply multiply the exponents. So, [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]..

[tex]a \sqrt[n]{x}+ b \sqrt[n]{x} = ab \sqrt[n]{x}[/tex]

This statement is false. The correct result of adding two nth roots is not the product of the coefficients. It's simply (a + b) [tex]\sqrt[n]{x}[/tex].

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{xy}[/tex]

This statement is false. The correct division of two nth roots ([tex]\sqrt[m]{x}[/tex] divided by [tex]\sqrt[m]{y}[/tex]) is not equal to the product of the roots. The correct division is:

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{x/y}[/tex]

So, [tex]\sqrt[m]{x} /\sqrt[m]{y}[/tex] is equal to [tex]\sqrt[m]{x/y}[/tex], not [tex]\sqrt[m]{xy}[/tex].

Correct statements:

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]

To know more about coefficients:

https://brainly.com/question/13431100


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1 point
4. 11 students participated in a jog-a-thon and raised different
amounts of money. This data was used to make the box plot
below. What is the median of this data?
90 95 100 105 110 115 120 125 130
Money Raised by Students in the Jog-a-Thon

Answers

Answer:

Not cool

Step-by-step explanation:

If f(x) = –2x2 + 6, find the value of f(-3).

Answers

Answer: 12x−18

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Please help, I will give brainliest in return.

Answers

Answer:

C

Step-by-step explanation:

Wolid like

the total cost of a $112.75 meal with a 20% tip​

Answers

135.30 dollars is the total cost

Please help I only have a short amount of time to get my grades up

Answers

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

What is the coefficient of the term 7y in the expression 9 + 7y

Answers

Answer:

7 is the coefficient of 7y

Step-by-step explanation:

explanation in the text book pls refer TB

Answer:

7

Step-by-step explanation:

Sience the 7 is the number multiplied by the variable y, 7 is the coefficient.

7 is the coefficient

I NEED HELP NOWWDJNDIWADNADHQIDN

Answers

Answer:

D

Step-by-step explanation:

3. Find the perimeter of the diagram. Round to the nearest
hundredth.

Answers

the answer is 16.77

fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad

iris has $240 in the bank and she withdraws $25 every week. An equation for this relation is C = 240 - 25w, where c represents the amount of money , in dollars, in iris' account and w represents the number of weeks. How much does iris have in her account after 4 weeks

Answers

Answer:

140

Step-by-step explanation:

25 x4=100 subtract to the total which is 240 and get 140

Answer:

140

Step-by-step explanation:

Plug 4 into w, so it's C = 240 - 25(4) -> 240 -100 -> C = 140

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches.What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.)

Answers

Answer:

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 69, \sigma = 6[/tex]

What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 69}{6}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a pvalue of 0.5675

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 69}{6}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

0.5675 - 0.4325 = 0.1350

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

(7i²– 5i + 12) – (3i²+ 6i– 9)

simplify ​

Answers

Answer:

the correct answer is

4i^2 +6i +21

Solve the system of equations -x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 by combining the equations

Answers

Answer:

Solution: x= -36, y=51

Step-by-step explanation:

Solve the system:

  x +   y = 15

-5x - 3y = 27

By using the reduction method.

Multiply the first equation by 3:

 3x + 3y = 45

Add it to the second equation:

3x - 5x = 45 + 27

Simplifying:

-2x = 72

Dividing by -2:

x = 72/(-2)

x = -36

From the first equation:

-36 + y = 15

Adding 36:

y = 15 + 36 = 51

y = 51

Solution: x= -36, y=51

Solve the problem 11/15 + 1/3 using the four square model.

Answers

Answer:

A.

Step-by-step explanation:

At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the waffle shop are dirty?

answers:
50%
10%
90%
100%

Answers

90 percent of the mugs are dirty

Which equation has 2 solutions?

Answers

Answer:Umm you can do ratios if you learned it or you can times it

Step-by-step explanation:

Hope this helps

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