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
xz_007 [3.2K]
3 years ago
14

Please help me figure out this problem

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

You might be interested in
Verify sin4 x- sin2x = cos4x – cos2x is an identity
Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0
3 years ago
( In the PDF sorry I cant copy and paste it :( ) <br><br><br> It's ON Graphing Inequalities
Vedmedyk [2.9K]

Answer:

Its A

Step-by-step explanation:

The answer is A, because the dot means it cant be 11, which is what the question is asking. Hope this helps!

8 0
3 years ago
Write the set in roster form containing <br> numbers -3, -2, -1, 0, and 1
Andrew [12]

Answer: Is the answer is A={-3,-2,-1,0}, I’m not sure if the owner who was written the answer, if it’s right I’ll have more points, if it’s wrong then let someone else answer okay? :)

Step-by-step explanation:

8 0
3 years ago
Answers choices<br> &lt;1<br> &lt;4<br> &lt;2<br> &lt;3
Maslowich

Answer:

B) 4

Step-by-step explanation:

1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.

So, the angle of depression from the lighthouse to the boat is 4.

7 0
3 years ago
How many squares are in this figure in all?
Tanya [424]

Answer:

explanation

Step-by-step explanation:

there

are

22

squares

all

together

6 0
3 years ago
Read 2 more answers
Other questions:
  • you are to draw two graphs of lines. one line needs to have a slope of 2/3. and the second line needs to have a slope of -4
    8·1 answer
  • A company manufactures televisions in batches of 25 and there is a 1% rate of defects. Find the standard deviation for the numbe
    13·2 answers
  • 8/3 = 2+X what is the single step answer
    8·2 answers
  • How do you decrease £840 by 5%
    10·2 answers
  • Can some one plz help I'm comfuzzled
    13·1 answer
  • Plz anwser!!!!!!!!!!!!!
    11·2 answers
  • If you can get this before I do I'll give brainliest
    13·2 answers
  • Answer my questio down below plz and thank you!!
    6·1 answer
  • Which steps could be used to solve this equation?
    6·1 answer
  • Find the prime factorization of 945
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!