Posted by Ashley on Sunday, April 7, 2013 at 10:17pm.
Given f(x)=4+lnx; Find the inverse of f. f^1=?

Algebra  Reiny, Sunday, April 7, 2013 at 11:08pm
original:
y = 4 + lnx
inverse:
x = 4 + lny
solving for y
lny = x4
y = e^(x4)
f^1 (x) = e^(x4)

Algebra  Kendall, Sunday, April 7, 2013 at 11:23pm
How do you find the domain and range?

Algebra  Reiny, Sunday, April 7, 2013 at 11:31pm
domain is your choice of x's that you can use in your equation
For logs, one of the main properties is that I can only take the log of a positive number
so for y = 4 + lnx , the domain is x > 0
however, the result of taking such logs results in any real number, so the range is y ∈ R
After taking the inverse of a function, the domain of the original becomes the range of the inverse, and the range of the original becomes the domain of the inverse.
Answer This Question
Related Questions
 calculus  Find the minimum distance between the curves y=e^x and y=lnx. Hint: ...
 calculus  sorry to ask a second question so soon, but i'm just not getting this...
 L'Hopital's rule  Find lim x>1+ of [(1/(x1))(1/lnx)]. Here is my work...
 Calculus 1  Find the derivative of y with respect to x. y=(x^6/6)(lnx)(x^6/36...
 Calculus  Find the minimum distance between the curves y=e^x and y=lnx. Hint: ...
 Calculus  Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...
 Calculus  what is the limit as h approaches 0 of ((x+h)^pix^pi)/h? Multiple ...
 calculus  (a) find the intervals on which f is incrs or decrs. (b) find the ...
 Math  Find the coordinates of the turning point and determine wether it is ...
 Algebra  Given the functions f(x)=x+5/3 and g(x)=1/f^1(x)+1, find the value of...
More Related Questions