superstar310
superstar310 superstar310
  • 20-08-2018
  • Mathematics
contestada

Find the inverse of f(x)=ln(x/x-2). Can someone please explain to me how I find the answer?

Respuesta :

gloria457
gloria457 gloria457
  • 20-08-2018
1. first to find the inverse of a function that function has to be bijective( so you have to prove that function is both injective and surjective)

1.first you prove it s injective then surjective -> bijective -> inversab

2 f-1:B-> A


.y=ln(x/x-2)
ln10^y=ln(x/x-2)
x/x-2=10^y
x=10^y*x-2*10^y
x-10^y*x=-2*10^y
x(1-10^y)= -2*10^y
x= -2*10^y/(1-10^y);

f-1(x)= -2*10^x/(1-10^x);

Answer Link

Otras preguntas

Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and
Select the correct answer. Which two people first helped spread Christianity? A. Constantine and Maxentius B. Jesus and Paul C. Constantine and Odoacer D. S
Subtract 3/8 – (-5 ¼)
82.0651 nearest thousandth
ABC , A is a right angle and mB=45, Find BC.A. √22ftB. 2√11ftC. 11ftD. 11√2ft
which value is the same as 6 tenths? a) 6 tens b) 60 hundredths c) 6 hundredths d) 600 hundredths
Explain three ways that grieving experiences may differ among individuals.
How does Kincaid use this description to provide insight into Annie’s character ?
Simplify the expression [tex]\frac{-5+i}{2i}[/tex]
jose buys a new moped. he travels 2 miles from his house to work and back home again. what is his displacement?