erinaaazmi
erinaaazmi erinaaazmi
  • 02-02-2020
  • Mathematics
contestada

[tex]f(x) = \frac{m}{x - 1} + n[/tex], x≠k

given, f(2)=3 and f(3)=2

find the value of k​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 02-02-2020

Answer:

Step-by-step explanation:

[tex]f(2)=\frac{m}{2-1}+n\\\\f(2)=\frac{m}{1}+n\\\\f(2)=m+n\\\\m+n=3\\m=3-n------(i)\\\\f(3)=\frac{m}{3-1}+n\\\\f(3)=\frac{m}{2}+n\\\\f(3)=\frac{m}{2}+\frac{n*2}{1*2}\\\\f(3)=\frac{m}{2}+\frac{2n}{2}\\\\f(3)=\frac{m+2n}{2}\\\\f(3)=2\\\\\frac{m+2n}{2}=2\\\\m+2n=2*2\\\\m+2n=4---------(ii)\\\\3-n+2n=4------{using(i)}\\\\3+n=4\\\\n=4-3\\\\n=1\\\\m=3-n=3-1\\\\m=2[/tex]

Answer Link

Otras preguntas

How many moles of N are in 0.209 g of N2O?
Create a ratio table for making lemonade with a lemon juice to water of ratio of 1:3 show how much lemon juice would be needed if u use 36 cups of water to make
Read the excerpt from "the role of social media in the arab uprisings" by heather brown, emily guskin, and amy mitchell. Social media indeed played a part in t
Which situation can be modeled by the inequality 5 + 10w ≥ 45? 50 pts!!!
I have no idea about this !!! Plz help! Tomorrow I have a test and the test has the same questions than this! Thx!
who wrote the book grocery packing at the supermarket
What best explains why Constantinople did not fall until 1453
How to write 5+0.1+0.03+0.006 in standard form
HELP ASAP PLEASE!!! WILL MARK BRAINLIEST All of the statements below describe how reproductive isolation drives speciation except
what is p(2) given p(n)=6-2|1 + n|