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
Basile [38]
2 years ago
8

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Mathematics
1 answer:
maks197457 [2]2 years ago
5 0
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
You might be interested in
In the figure below an angle that is supplementary to angel FAB is:
Vlad1618 [11]

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

3 0
3 years ago
X + 4y = 16<br> -X + 3y = -2 ​
jeyben [28]

Answer:

(8, 2 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 16 → (1)

- x + 3y = - 2 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 + 7y = 14

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(2) = 16

x + 8 = 16 ( subtract 8 from both sides )

x = 8

solution is (8, 2 )

7 0
3 years ago
Help me please thank you
harina [27]

I believe it would be 2 units to the right

and 4 units down

7 0
2 years ago
Which is greater? -(-3) or -(3) ? need asap!
Artist 52 [7]
It’s - ( - 3 ) because a negative times a negative equals a positive so it wouldn’t be - ( 3 ) because it would turn into a negative number and - ( - 3 ) would be positive
7 0
2 years ago
Read 2 more answers
Solve the equation: 10y-7=27
mrs_skeptik [129]

Answer:

10y=27+7

10y=34

y=34/10

y=3.4

Step-by-step explanation:

Firstly 7 is added to 27

Then adding 7 and 27

Dividing 34 by 10

8 0
3 years ago
Other questions:
  • In standard form I don’t know exactly
    8·1 answer
  • Solve the system of linear equations by addition<br> x+y=-9<br> x+y=5
    15·1 answer
  • Please help me !!!!!! I need help
    11·1 answer
  • Use the given probability of each event to find the probability of the complement
    9·2 answers
  • What is f?<br> To 2 decimal places
    6·2 answers
  • Answer the questions
    8·2 answers
  • Simplify the expression<br> (3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)
    15·1 answer
  • What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
    15·1 answer
  • More to come 10 questions
    9·2 answers
  • Which of the following is equivalent to √?<br> O<br> 2<br> √2<br> O 2√2<br> 2+√√√2
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!