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
babymother [125]
1 year ago
9

Please I’m giving away Brainly ASAP

Mathematics
1 answer:
AnnyKZ [126]1 year ago
7 0

Answer:

g and f are inverse functions because g(f(x)) = f(g(x)) = x

Step-by-step explanation:

Let's start by finding f(g(x)) and g(f(x)). As we discussed in another question, to find a composite function, apply the outer function to whatever the inner function evaluates to. We can start with f(g(x)):

f(g(x))=f(\frac{x+6}{7})=7(\frac{x+6}{7} )-6=x+6-6=x

Now, let's find g(f(x)):

g(f(x))=g(7x-6)=\frac{(7x-6)+6}{7} =\frac{7x}{7}=x

There is a property that says that if f(g(x)) = g(f(x)) = x, the two functions are inverse. This suggests that g and f are inverse functions. We can verify this by taking one function, switching y and x, and then solving for y. If we complete this process and find that we get the OTHER function, it means the two functions are inverse. Let's try that:

f(x)=y=7x-6

Swap x and y:

x=7y-6

Solve for y:

x+6=7y\\y=\frac{x+6}{7}

Notice that we got g, which means f and g are inverse.

You might be interested in
Find cos 0.<br> 15<br> 8<br> Kansnakka
Rzqust [24]

Answer:

The answer to this is A.) 8/17

6 0
3 years ago
7 students have 5 blocks each.<br><br> Which helps you find the total number of blocks?
ankoles [38]

Answer:

5 blocks

Step-by-step explanation:

5 blocks for every barometer

5 0
1 year ago
There are four erasers but only three pencils write the ratio of erasers to pencils
iris [78.8K]
4:3
4 to 3
4/3
I wrote all the three ways
3 0
3 years ago
What is the answer in substiution y=2x-9 and y=3
ale4655 [162]

Answer:

x= -6

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and a
Blizzard [7]
$4.80 per lb. I think
7 0
2 years ago
Read 2 more answers
Other questions:
  • Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is $
    14·1 answer
  • A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
    10·1 answer
  • Which of the following terms completes the sentence below?
    5·1 answer
  • Rita has one less than three times as many dollars as her friend Jorge. The difference between the amounts the two friends have
    10·2 answers
  • What is the equation of the line, in point-slope form, that passes through the points (4, 8) and (2,-2)?
    5·1 answer
  • Which shapes have rotational symmetry that occurs at 180°?
    10·2 answers
  • Justin gives his sister 3/4 of his<br> dollar. How much money is that?
    12·2 answers
  • Which function passes through the points (2, 15) and (3, 26)?
    7·2 answers
  • Which is true about the solution to the system of inequalities shown?
    7·1 answer
  • Brianna is playing a video game and loses 3.5 lives. Later she gains 6 more lives. What is the overall change in Brianna's total
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!