SOLUTION: Determine if
f(x)=ln(5x+4), x>−4/5, has an inverse, and if it does, find this inverse.
Algebra.Com
Question 490423: Determine if
f(x)=ln(5x+4), x>−4/5, has an inverse, and if it does, find this inverse.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine if
f(x)=ln(5x+4), x>−4/5, has an inverse, and if it does, find this inverse
**
y=ln(5x+4)
Change to exponential form: base(e) raised to log of number(y)=number(5x+4)
e^y=5x+4
interchange x and y, then solve for y, the inverse.
e^x=5y+4
5y=e^x-4
y=(e^x-4)/5
f(x) inverse=(e^x-4)/5
RELATED QUESTIONS
Determine whether the function has an inverse function and if so, find the inverse... (answered by stanbon)
find the inverse (if it exists) of... (answered by MathLover1)
Determine if the following function has an inverse function.
k(x)=3x^2−5
A. k has (answered by MathLover1)
Suppose f(x) = \frac{9}{5} x - 4 + x^2. Does f have an inverse? If so, find f^{-1}(0). If (answered by CPhill)
Find the inverse function, if it exists of... (answered by MathLover1)
Find the inverse of the function. If the function does not have an inverse, write NO... (answered by josgarithmetic)
Find the inverse of the function. IF the function does not have inverse write NO INVERSE.
(answered by Fombitz)
I'm drowning in Logs & Inverses: My question states:
Determine if this is a... (answered by scott8148)
find the inverse function defuned by the given table, and determine if the inverse is a... (answered by stanbon)