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]
2 years ago
9

Please I’m giving away Brainly ASAP

Mathematics
1 answer:
AnnyKZ [126]2 years 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
Factorise completely 2y^2-4y
Serga [27]
To factor an expression, first you have to find the GCF or Greatest Common Factor of all of the pieces of the expression.

The GCF of 2y^2 and -4y is 2y

So, to factor this expression, we need to divide all of the pieces of the expression by the GCF.

2y(y-2)

2y^2 - 4y in completely factored form is 2y(y-2)
8 0
3 years ago
Read 2 more answers
Is the following exponential graph increasing or decreasing? If it is, what exponent problem is it? Explain.
Akimi4 [234]
It is increasing and the exponential problem should be 5e^x-8
3 0
3 years ago
Covert 9.46×^10-6 into regular notation
weqwewe [10]

Answer:

0.00000946

Step-by-step explanation:

9.46×^10⁻⁶ =0.00000946

<u>Trick:</u>

Since the exponent of the scientific notation is negative, move the decimal point 6 places to the left

5 0
3 years ago
What is 251.327 rounded to the nearest whole number.
evablogger [386]

Answer:

251

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labo
Korvikt [17]

Answer:

The plumber worked 50 hours, and his assistant worked 25 hours.

Step-by-step explanation:

Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:

40 x 30 + 20 x 20 = 1200 + 400 = 1600

50 x 30 + 25 x 20 = 1500 + 500 = 2000

Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.

6 0
2 years ago
Other questions:
  • The mean age of five children is 8 years
    12·2 answers
  • If p/q is a rational number then p cannot be equal to 0<br> true or false please fast urgent.......
    14·1 answer
  • Please Help!!
    11·1 answer
  • Ayden and his friend Sophie are going to a carnival that has games and rides. Ayden played 5 games and went on 7 rides and spent
    5·1 answer
  • Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe
    12·1 answer
  • Can someone plz help me!!!
    15·1 answer
  • -x&lt;-26 what is the answer???
    14·1 answer
  • Norman is a sunflower farmer. He uses a plot of
    5·1 answer
  • Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of
    11·1 answer
  • Which expression is an equivalent expression for 2(6y – 4)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!