kevin292002 kevin292002
  • 25-10-2018
  • Mathematics
contestada

How do you find the inverse of this function

How do you find the inverse of this function class=

Respuesta :

konrad509
konrad509 konrad509
  • 25-10-2018

[tex]y=\dfrac{2+x}{1-\dfrac{1}{2}x}\\\\y\left(1-\dfrac{1}{2}x\right)=2+x\\\\y-\dfrac{1}{2}xy=2+x\\\\2y-xy=4+2x\\\\2x+xy=2y-4\\\\x(2+y)=2y-4\\\\x=\dfrac{2y-4}{y+2}\\\\\boxed{f^{-1}(x)=\dfrac{2x-4}{x+2}}[/tex]

Answer Link

Otras preguntas

The thing about terry Based on the indirect characterization in this stanza, which word best describes the narrator
If my laptop has 28% battery how much will it be full charge?
Justin has 34 quart of cranberry. if you divide the juice into glasses that hold 18 quart how many classes can justin fill?
If lulu equals 6, julie equals 15, joe equals 15 and jill equals 12, what number is each letter worth
2 x (-8) x (-9) PLEASE HELP ME
To maintain a new word in your vocabulary, you must _______ it. a. define b. use c. read d. pronounce
What bacteria did we talk about that has a vaccine against it? A) STAPH B) tetanus C) salmonella D) MRSA
solve the seperable equation: dy/dx= (sec^2)y/1+x^2
What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8
What are the coordinates of the focus of the conic section shown below? y^2-4x+4y-4=0 ...?