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
vazorg [7]
2 years ago
9

Let f(x)=x−4 and g(x)=−2x+4 Find g(f(2)) 0 −12 8 −8

Mathematics
2 answers:
marin [14]2 years ago
8 0

Answer:

8

Step-by-step explanation:

This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.

Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))

So first lets find f(2)

f(x) = x - 4

f(2) = 2 - 4

f(2) = -2

g(f(2)) , f(2) = -2 , g(-2)

now lets find g(-2)

g(x) = -2x + 4

g(-2) = -2(-2) + 4

multiply -2 and -2 to get 4

g(-2) = 4 + 4

add 4 and 4 to get 8

g(-2) = 8

We can conclude that g(f(2)) = 8

blsea [12.9K]2 years ago
4 0

f(2):-

\\ \sf\longmapsto f(2)

\\ \sf\longmapsto 2-4

\\ \sf\longmapsto -2

Now

\\ \sf\longmapsto g(f(2))

\\ \sf\longmapsto g(-2)

\\ \sf\longmapsto -2(-2)+4

\\ \sf\longmapsto 4+4

\\ \sf\longmapsto 8

You might be interested in
77. the volume of a cube is increasing at a rate of <img src="https://tex.z-dn.net/?f=10%20%5Cmathrm%7B~cm%7D%5E%7B3%7D%20%2F%20
Colt1911 [192]

Answer:

\displaystyle \frac{4}{3}\text{cm}^2/\text{min}

Step-by-step explanation:

<u>Given</u>

<u />\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}

<u>Solution</u>

(1) Find the rate of the cube's edge length with respect to time at s=30:

\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}

(2) Find the rate of the cube's surface area with respect to time at s=30:

\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of \displaystyle \frac{4}{3}\text{cm}^2/\text{min}.

6 0
2 years ago
An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total? No li
Yuki888 [10]
The answer is 18.5 yd
8 0
2 years ago
Find the area of the smaller sector round to the nearest tenth. Need help fast!!
Elodia [21]

Step-by-step explanation:

area of the minor sector= angle of the sector/360 * πr²

= 77/360 *22/7* 10.7²

= 76.96in²

appx 77.0in²

6 0
3 years ago
José stood on a 4 foot high still, then jumped into a 1 foot deep hole. Which applies to his action
mina [271]

I'm going to assume that you are asking how deep he jumped. He jumped from 4 feet high into a 1 foot deep hole, so, we need to add.

4 + 1 = 5

Therefore, Jose jumped a total of 5 feet.

Best of Luck!

8 0
3 years ago
Prove <br> (cos11+sin11)/(cos 11 - sin 11)=tan 56
DiKsa [7]

Notice that 56° = 45° + 11°. Then

tan(56°) = sin(56°) / cos(56°)

… = sin(45° + 11°) / cos(45° + 11°)

… = (sin(45°) cos(11°) + cos(45°) sin(11°)) / (cos(45°) cos(11°) - sin(45°) sin(11°))

Recall that sin(45°) = cos(45°) = 1/√2, so we can cancel each term involving 45° :

tan(56°) = (cos(11°) + sin(11°)) / (cos(11°) - sin(11°))

8 0
2 years ago
Other questions:
  • PLEASE HELP ME...
    10·2 answers
  • What number makes the the number sentence true 420,008 - 9,569 =n
    10·2 answers
  • I need help I only have 3 min
    15·1 answer
  • Evaluate 6g +1 for g =7
    10·2 answers
  • If the Nutrition Facts panel on a food label indicates that a food has 24 g of total carbohydrates, 2 g of fiber and 12 g of sug
    14·1 answer
  • Please!! I have to do this by tonight!!
    11·1 answer
  • Can someone check this one for me , thank you!
    15·1 answer
  • The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
    5·2 answers
  • Darnell is trying to understand the Pythagorean Theorem by drawing a few triangles. He found that 1² + 1² = (√2)² is accurate. W
    13·2 answers
  • Help me with this please.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!