SOLUTION: Hi, Can you help me with this math problem? 16.) Find the inverse of the function. f(x)=log(x+9) The answer should be f-1(x)=10^x-9

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi, Can you help me with this math problem? 16.) Find the inverse of the function. f(x)=log(x+9) The answer should be f-1(x)=10^x-9      Log On


   



Question 135664: Hi,
Can you help me with this math problem?
16.) Find the inverse of the function.
f(x)=log(x+9)
The answer should be f-1(x)=10^x-9

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse of the function.
f(x)=log(x+9)
y = log(x+9)
1st: Interchange x and y to get:
x = log(y+9)
2nd: Solve for "y:
y+9 = 10^x
y = (10^x) -9
That is the inverse.
-------------------------
Cheers,
Stan H.