Find Inverse of f(x) = ln(x-1)

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
spartas
Messages
7
Reaction score
0
find the inverse function of
f(x)=ln(x-1), x>1
 

Discussion

Physics news on Phys.org
spartas said:
find the inverse function of
f(x)=ln(x-1), x>1

You set $y=f(x)$. Then $y= \ln (x-1) \Rightarrow e^y=x-1 \Rightarrow x=e^y+1$.

What can we deduce from that?
 

Similar threads

Is f(x)=ln(x)/x Increasing or Decreasing?

  • Emma_011
  • · Replies 1 ·
  • Calculus
Replies
1

What is the Absolute Maximum Value of f in the Function f(x) = ln(x)/x?

  • karush
  • · Replies 5 ·
  • Calculus
Replies
5

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

  • Mike_bb
  • · Replies 43 ·
  • Calculus
2
Replies
43

Finding Domain for Natural Log with Exponent f(x)=ln(x^2−5x)

  • RidiculousName
  • · Replies 6 ·
  • Calculus
Replies
6

Verify that d/dx(ln x)-1/2 using theorem 7

  • karush
  • · Replies 3 ·
  • Calculus
Replies
3

How can I develop ln(x) into a series for x >= 1 in fluid dynamics?

  • fluid_mechanics
  • · Replies 1 ·
  • Calculus
Replies
1

Determine Convergence/Divergence of Sequence: f(x)=ln(x)^2/x

  • chwala
  • · Replies 34 ·
  • Calculus and Beyond Homework Help
2
Replies
34

Undergrad ##f(2x)=f^2(x)-2f(x)-1/2## then find ##f(3)##

  • littlemathquark
  • · Replies 17 ·
  • Calculus
Replies
17

Undergrad Verifying Integration of ##\int_0^1 x^m \ln x \, \mathrm{d}x##

  • murshid_islam
  • · Replies 1 ·
  • Calculus
Replies
1

242.q2.3a Int_2^4 dx/[x( ln x)^2]

  • karush
  • · Replies 13 ·
  • Calculus
Replies
13