f(x) = -x + 5
g(x) = x2 – x +4
Find: (f•g)(x)

F(x) = -x + 5g(x) = X2 X +4Find: (fg)(x)

Answers

Answer 1

Answer:

[tex](fog)(x) = - {x}^{2} + x + 9[/tex]

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]

I hope I helped you^_^


Related Questions

help.................

Answers

Is there a answer D?

The hight increases 2.5 inches per second.

Answer:

The answer is the height of the water increases 2.5 inches per second.

Step-by-step explanation:

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?1 mile Over 5280 feet60 minutes Over 1 second5280 feet Over 1 mile1 minute Over 60 seconds

Answers

Answer:is it mile 1 or 1 mile?

Step-by-step explanation:

Help me please

x/3+12=2

Answers

Answer:

x = -30

Step-by-step explanation:

minus 12 on both sides

updated equation: x/3=-10

multiply 3 on both sides

updated equation

x = -30

seventeen is less than twice the sum of a number and three

Answers

Answer:

no it would be more

Step-by-step explanation:

3+3=6 so not 17 at all

Answer:

x > 17/2 - 3

Step-by-step explanation:

17 < 2(x+3)

17/2 < x+3

17/2 - 3 < x

Which continent is pictured in the map as number 3?

Answers

The continent is Africa

Answer:  Africa

,  Hope this helps :)

Have a great day!!

Question 8 plz will give brainlest

Answers

Answer:

the answer for question no 8 is. option second...ie 17

Sixty tickets at $60 each cost

Answers

Answer:

360$

Step-by-step explanation:

you multiply I think?

The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?

I'll give Brainliest! Please no links

Answers

Answer:

32 revolutions per minute(rpm)

Step-by-step explanation:

v inversely proportional to t

so if v increases t will decrease and vice versa

inverse equation is xy=k

xy=k

48×20= 960 (revolutions)

then you'll take k(960) and divide it by number of teeth

so..

960/30 = 32 revolutions per minute

anyone please help me​

Answers

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

Use midterm splitation

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

The equation has two solutions:x=5, x=-1

Graph is in the attachment!!

If one school bus can hold 64 students, what is the least number of buses needed to transport 700 students on a field trip

Answers

11 school buses, this is because 700 divided by 64 is 10.9375 and since you can’t have a fraction of a bus, you need to round, so you would need 11 school buses.

Deandre has completed 68 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Deandre completed?

Answers

Answer:

a

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

68 divided by 80 is equal to 68/80.

Divide top and bottom by 4 to get 17/20.

17 divided by 20 is 85%

¿Qué es la poblacion en estadistica?

Answers

Answer:

Que?

Step-by-step explanation:

I don't speak Español

does anyone know this?

Answers

Answer:

Cube

Step-by-step explanation:

given m || n, calculate the value of x

Answers

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)

Answers

The quadratic equation that contains the three points is y = -x² + 3x + 40

A quadratic equation is in the form:

y = ax² + bx + c

At point (-4, 12):

12 = a(-4)² + b(-4) + c

16a - 4b + c = 12      (1)

At point (2, 42):

42 = a(2)² + b(2) + c

4a + 2b + c = 2      (2)

At point (3, 40):

40 = a(3)² + b(3) + c

9a + 3b + c = 40     (3)

Solving equation 1, 2, and 3 gives:

a = -1, b =3, c = 40

y = -x² + 3x + 40

Hence the quadratic equation is y = -x² + 3x + 40

Find out more at: https://brainly.com/question/18269329

the sum of two consecutive even integers is 74 what are the two numbers

Answers

Answer: 36 and 28

Step-by-step explanation:

x + x+2 = 74

2x = 72

x1 = 36

x2 = 28

A plant splits into 2 new plants each week. How many plants will you have after 6 weeks?

Answers

Answer:

The answer is 12

Step-by-step explanation

6x2

Just multiply 6 by 12

Which of the following describes distributive property? *

12 + 10 = 22
12 + 10 = 10 + 12
5( 7 + 4) = 35 + 20
5( 7 + 4) = 35 + 5

Answers

deu ruim  aqui pq eu não sei

Step-by-step explanation:

6 3/4 ÷1 1/8



HELP ME PLEASE

Answers

Answer: 6

Step-by-step explanation:

Remember when you’re dividing by fractions you keep the original fraction the same then you change the sign from division to multiplication and the second fraction you flip
6 3/4 x 1 1/8
27/4 x 8/9
Your answer is 6

FI=6
IH=12

calculate the length of GI

Answers

[tex]\\ \sf\longmapsto GI^2=FI(IH)[/tex]

[tex]\\ \sf\longmapsto GI^2=6(12)[/tex]

[tex]\\ \sf\longmapsto GI^2=72[/tex]

[tex]\\ \sf\longmapsto GI=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto GI=8.22[/tex]

If FI = 6 and IH = 12. The length of GI = 8.22.

How to estimate the length of GI?

Given: FI = 6 and IH = 12

To estimate the length of GI

[tex]$\mathrm{Gl}^{2}[/tex] = FI (IH)

Simplifying the above equation, we get

[tex]$\mathrm{Gl}^{2}[/tex]= 6 (12)

Remove parentheses: (a) = a

Multiply the numbers then, we get

[tex]$6 \cdot 12=72$[/tex]

[tex]$\mathrm{Gl}^{2}[/tex] = 72

GI = [tex]$\sqrt{72}[/tex]

GI  = 8.22

Therefore, the length of GI = 8.22.

To learn more about triangles length

https://brainly.com/question/14302533

#SPJ2

solve the inequality. 1/3b - 4 ≤ 4

if this posted twice i apologize. it's not showing that it posted ​

Answers

Answer:

B ≤ 24

Step-by-step explanation:

phil has 3 mangoes he cuts 1 and gives 3\5 to his little brother how much did he keep for him self​

Answers

Answer:

2 2/5.

Step-by-step explanation:

Plz help it’s due tonight!!!

Answers

Answer: AB≅EF, ∠B≅∠E, BC≅DE

Step-by-step explanation:

AB and EF are both marked with one line, making them congruent.

The same goes for BC and DE since they are marked with two lines.

Angles B and E are congruent because of the marking that is specified in both figures.

PPPPPPPPPPPPPPLLLLLLLLLLLLEAAAAAAAAAAAASSSSSSSSSSSSSSSEEEEEEEE
help me!

Answers

Answer:

(4,0)

Step-by-step explanation:

Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.

Hope this helps!

90-80*2-2
plz helpppppppppppppppppp

Answers

Answer:

18

Step-by-step explanation:

90-80=10

10*2=20

20-2=18

Answer:

90-80 x 2-2 = 0

Step-by-step explanation:

Firstly. subtract 80 from 90 to get 10.

90-80= 10

Then subtract 2 from 2, to get 0.

2-2=0

Lastly, for your answer multiply 10 by 0 to get 0.

10 x 0 = 0

,  Hope this helps :)

Have a great day!!

3. (04.03 LC)
Identify the domain of the exponential function shown in the following graph: (2 points)

Answers

Answer:

x is greater than or equal to 0.

Step-by-step explanation:

The domain is just your X value. In contrast, the range is your Y value. Since we start at and include 0 on the X axis, we continue forever from there. Therefore, X is greater than or equal to 0.

What’s the area of a 70 millimeter circle

Answers

Answer:

The area of the circle is 3,8550 mm

Step-by-step explanation:

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.

Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.

I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE​

Answers

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

To get to her parents' house, Karen would have to drive due north 9 miles. To get to her grandparents' house, she would have to drive due east 12 miles. What is the straight-line distance between the parents' and grandparents' houses

Answers

Answer:

in total 21 miles

Step-by-step explanation:

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