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
Nutka1998 [239]
3 years ago
8

For questions 8 – 14, use the following functions:

Mathematics
1 answer:
pogonyaev3 years ago
8 0

we are given

f(x)=5

g(x)=\sqrt{x+2}

(8)

(f+g)(x)=f(x)+g(x)

we can plug it

(f+g)(x)=5+\sqrt{x+2}

(9)

(f-g)(x)=f(x)-g(x)

we can plug it

(f-g)(x)=5-\sqrt{x+2}

(10)

(f*g)(x)=f(x)*g(x)

we can plug it

(f*g)(x)=5\sqrt{x+2}

(11)

(\frac{f}{g} )(x)=\frac{f(x)}{g(x)}

we can plug it

(\frac{f}{g} )(x)=\frac{5}{\sqrt{x+2}}

(12)

(\frac{g}{f} )(x)=\frac{g(x)}{f(x)}

we can plug it

(\frac{g}{f} )(x)=\frac{\sqrt{x+2}}{5}

(13)

(fog)(x)=f(g(x))

f(x)=5

we can replace g(x)

we get

(fog)(x)=5

(14)

(gof)(x)=g(f(x))

f(x)=5

we can replace f(x)

(gof)(x)=\sqrt{f(x)+2}

we get

(gof)(x)=\sqrt{5+2}

(gof)(x)=\sqrt{7}


You might be interested in
Which of the following is a series ? Check all that apply . 1/2 + 1/4 + 1/6 + 1/16 + 3.14159 B. 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 20
Julli [10]

Answer:

A Series is always a periodic sum of terms, so only A and D will apply to that definition

(where A= 1/2 + 1/4 + 1/6 + 1/16 + 3.14159 and B=25 - 5 - 10 - 15 - - 125

3 0
3 years ago
What is the sum of 3/4 and 4/5​
jolli1 [7]

Answer:

31/20

Step-by-step explanation:

just cross multiply and add

(3x5 + 4x4) / 4x5

6 0
3 years ago
Read 2 more answers
Name the sets of numbers to which each number belongs
IceJOKER [234]
I need the numbers or the picture of the question before i answer this please
3 0
3 years ago
A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins, 8% are pennies and 30% are dimes.
Gala2k [10]

Answer:

$6.49

Step-by-step explanation:

Pennies = 8% of 50 =4 ; 4x0.01 = 0.04

Dimes = 30% of 50 = 15 ; 15x0.10 = 1.50

Nickels = 10 + 4(number of pennies) = 14; 14x 0.05 =0.70

Quarters = 50 - 33 (total  pennies + dimes + nickels ) = 17 ; 17x0.25=4.25

Therefore total amount in bag = 0.04+1.50+0.70+4.25 = $6.49

4 0
4 years ago
Are these triangles congruent ?<br><br> And what is the theorem ?
ahrayia [7]

Answer:

Yes, they are congruent. Theorem: SSS

Step-by-step explanation:

The triangles are congruent because it is given that they have 2 sides that are the same (hence the matching tick marks). In the diagram, you can also see that they share a side. Since all three sides on both triangles are the same, the two triangles are congruent by the SSS theorem.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Sophia bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is a
    6·1 answer
  • Which is a simplified form of the expression 2c + 2 + 6c – 4?
    6·2 answers
  • 73/260 73 is what percent of 260. also 42/220 42 is what percent of 220. please help.
    6·1 answer
  • A helium ballon is tied to a sign 6 feet off the ground. Once untied, it will rise at a rate of 4 feet per second. Create an equ
    9·1 answer
  • Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon and medals are awarded for firs
    5·1 answer
  • Slope of a line -2 and IT contains the point (4,1 ) write the point slope equation
    5·1 answer
  • The cost of 12 oranges and 7 apples is $5.36. eight oranges and 5 apples cost $3.68. Find The cost of each
    7·2 answers
  • What is 1 and 2/5÷ 3/4=
    5·2 answers
  • How many letters can be typed each day in the office?
    8·1 answer
  • Help me as fast as possible
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!