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
The blue dot is at what value on the number line?
EastWind [94]
I think it’s 4 if the lines are going up by 2
4 0
3 years ago
Read 2 more answers
PQ is parallel to RS. The length of RP is 4cm; the length of PT is 16cm; the length of QT is 20cm. What is the length of SQ?
Step2247 [10]
Hello,

Using the theorem of Thalès,
PR/TP=QS/TQ==>QS=4*20/16=5

Answer A
3 0
3 years ago
If the start time is 8:34 amd the elapsed timne is 3 hours and 18 minutes what is the end time
mr_godi [17]
Forget the '34' part of 8:34 and the '18' minutes from 3 hours and 18 minutes for now.

Just add 3 hours on to 8, to get 11. Then, bring back the 34 and 18 and add them together. 34 + 12 = 52. Now put that 52 on the end of the 11, and you get 11:52 as the end time. 
3 0
3 years ago
Read 2 more answers
PLS HELP I DONT UNDERSTAND !
Svetach [21]

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

4 0
3 years ago
Which expression is equivalent to -2 (x +7) - 6x
Greeley [361]
The answer is a (-8x+14)
3 0
3 years ago
Read 2 more answers
Other questions:
  • The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
    9·1 answer
  • n 2010, the estimated population of New York City was 8.18 × 106 people. The population of the entire state that same year was a
    11·2 answers
  • Algorithms 32.5° + 16°=
    7·1 answer
  • 1. the figure below is a parallelogram which statement must be true
    7·1 answer
  • Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of​ error:
    12·1 answer
  • This is 6 grade homework please help me
    6·2 answers
  • ted bought 1 box of whistles 1 box of streamers and 1 box of stickers how many party favors did he buy in all show your work
    10·2 answers
  • Jamisha is solving the equation 4 ( x − 2 ) = 34 for x . Her work is shown in the table.
    15·1 answer
  • I need help with number 6
    5·2 answers
  • Simplify the expression 8h +(-7.7d) - 13+5d - 3.1h.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!