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
Varvara68 [4.7K]
3 years ago
6

How do I confirm that f and g are inverses?

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= \frac{6x-4+4}{6} = \frac{6x}{6} = x

-----------------------------------------------------------------------------

g(f(x))

= g(\frac{x+4}{6} )

= ( 6 × \frac{x+4}{6}) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

You might be interested in
The total surface area of this cuboid is 112cm squared find the value of x
Liono4ka [1.6K]

Answer:

The height of cuboid is 3 cm

Step-by-step explanation:

Total surface area of cuboid  = 2lb+2bh+2hl

Length of cuboid = 10 cm

Width of cuboid = 2 cm

Let the height be x

Total surface area of cuboid  = 2(10)(2)+2(2)(x)+2(x)(10)

Total surface area of this cuboid is 112 cm squared

 2(10)(2)+2(2)(x)+2(x)(10)=112

40+4x+20x=112

40+24x=112

24x=112-40

24x=72

x=\frac{72}{24}

x=3

Hence the height of cuboid is 3 cm

5 0
2 years ago
huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th
marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

14r+7g=70\\5r+14g=71

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4

Thus, 1 bunch of ornamental grass is $4.

5 0
3 years ago
The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Mrrafil [7]

Answer:

Sum of 2 interior angles =180

1 angle+70=180

Another angle=110

Step-by-step explanation:

5 0
3 years ago
Please help me . the image is attached
Vedmedyk [2.9K]

Answer:

50 times.

Step-by-step explanation:

Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)

Because you are running the experiment 200 times, multiply 200 by 1/4:

200/4 = 50 times.

Hope this helps!

7 0
3 years ago
Find the roots 5x^2+16=7x^2/3
TEA [102]

Answer: I Got No solution for this problem

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

3 0
2 years ago
Other questions:
  • Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc
    8·1 answer
  • I need this question please
    8·1 answer
  • A rectangular carpet is x+5 feet wide and 3x-2 feet long what is the area in square feet of the carpet in terms of x
    12·1 answer
  • What is 18/30 in simplest form?
    10·2 answers
  • Whats 10+-6. is it<br><br>16<br><br>-4<br><br>4<br><br>-16​
    15·2 answers
  • What expressions is equivalent to 5^3?
    5·2 answers
  • How many solutions does the equation 3x + 6 = −1 − 3 + 4x have
    12·1 answer
  • Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown belo
    13·2 answers
  • -4x+5 + -13x+39=180 angle measure
    11·1 answer
  • Geometry question! Help!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!