SOLUTION: Find the domain of the logarithmic function. f(x) = ln (4x - x2) A. 0 < x < 4 B. x &#8804; 4 C. -4 < x < 4 D. -4 &#8804; x < 0

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the domain of the logarithmic function. f(x) = ln (4x - x2) A. 0 < x < 4 B. x &#8804; 4 C. -4 < x < 4 D. -4 &#8804; x < 0       Log On


   

Question 452085: Find the domain of the logarithmic function.
f(x) = ln (4x - x2)
A. 0 < x < 4
B. x ≤ 4
C. -4 < x < 4
D. -4 ≤ x < 0


Found 2 solutions by htmentor, ewatrrr:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the logarithmic function.
f(x) = ln (4x - x^2)
The natural log function is only defined for positive values of the argument.
The limiting values of x are obtained by factoring the expression and seting = 0:
x(4-x) = 0
This gives x = 0 , x = 4
So the domain is 0 < x < 4.
Ans. A
The graph is below:
graph%28300%2C300%2C-6%2C6%2C-10%2C10%2Cln%284x-x%5E2%29%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,







 4x - x^2 > 0  x > 0 AND 4-x >0 or 4 > x

Domain:  0 < x < 4