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
kow [346]
3 years ago
14

Find the inverse of the function. Show work. g(x)= - 3/x-2 +2

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}

Step-by-step explanation:

We are given the function:

\displaystyle g(x)=-\frac{3}{x-2}+2

Let's find the inverse of g.

Call y=g(x):

\displaystyle y=-\frac{3}{x-2}+2

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

y(x-2)=-3+2(x-2)

Operate:

yx-2y=-3+2x-4

Collect the x's to the left side and the rest to the right side of the equation:

yx-2x=-3-4+2y

Factor the left side and operate on the right side:

x(y-2)=-7+2y

Solve for x:

\displaystyle x=\frac{-7+2y}{y-2}

Interchange variables:

\displaystyle y=\frac{-7+2x}{x-2}

Call y as the inverse function:

\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}

You might be interested in
WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION? GIVE AN EXAMPLE OF AN APPLICATION USING THE
Makovka662 [10]
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

6 0
3 years ago
Read 2 more answers
Please help me....people are just using my points and im running out.....please help me!!
storchak [24]

Answer

I think that c would equal 4

Step-by-step explanation:

If you need the explanation, here it is:

When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!

5 0
2 years ago
In 25 minuets, 400 customers entered the attraction, at this rate how many customers would enter the attraction in 1 hour? Use r
OverLord2011 [107]

Answer:

960!

Step-by-step explanation:

25/5=5. 400/5=80. 80 people would enter in 5 minutes. 5x12=60, and 80x12=960!

6 0
3 years ago
100 points please OMG HELP ME PLEASE I WILL DO ANYTHING I AM TIMED HELP MEEEEEEEEEEEEEEEE 5. Find the distance between the
Nesterboy [21]

Answer:

The answer is 14.86. I hope that this helps

4 0
2 years ago
The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the di
gtnhenbr [62]

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

8 0
3 years ago
Other questions:
  • What number is equivalent to 35/4?<br><br> A. 8.34<br> B.8.75<br> C. 7<br> D. 31
    14·2 answers
  • Am I right?
    14·2 answers
  • A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation
    12·2 answers
  • Add 3 feet 6 inches +8 feet 2 inches +4 inches +2feet 5 inches
    11·2 answers
  • Find the value of k. The diagram is not to scale.<br> 108<br> 101<br> 72<br> 50
    9·1 answer
  • Solve 7x - 12 = k for x
    12·1 answer
  • 25 - [2x(18 divided by 3) + 2
    7·1 answer
  • At Midland Elementary, there are 22 students in each of seven fourth- grade classes. How many students are in fourth-grade at Mi
    8·1 answer
  • 1 point
    8·1 answer
  • A(n) _______ appears behind selected text. dotted line double-arrow point blue line shaded background
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!