SOLUTION: find the inverse of f(x)=2^x+1

Algebra.Com
Question 1013136: find the inverse of f(x)=2^x+1
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Okay, from
f(x)=2^x+1
y = 2^x + 1
x = 2^y + 1
x - 1 = 2^y
log(x-1) = log 2^y
log(x-1) = y log 2
y = log(x-1) / log 2
f^(-1)(x) = log(x-1) / log 2

RELATED QUESTIONS

Find the inverse of : f(x) =... (answered by Nate)
Find the inverse of f(x)=x-1/x. (answered by josgarithmetic)
Find the inverse: f(x)= 2 + 1 /... (answered by MathLover1)
F(x)=10x G(x)=x+3 Find 1. F(g)(x) 2. The inverse of f(g) 3. The inverse (answered by greenestamps)
Find the inverse of the function (a) f(x)= x^2+2x-1,... (answered by josgarithmetic,MathLover1,Edwin McCravy)
Find the inverse of each function. Is the inverse a function? f(x) = (x-1)^2 +... (answered by stanbon,Edwin McCravy)
Find the inverse of... (answered by jim_thompson5910)
Find the inverse of f(x)=x^3 +... (answered by RAY100)
find the inverse of... (answered by josgarithmetic,MathTherapy)