Answer:
a) (0, ∞)
b) (-∞, ∞)
c) x = 0
Step-by-step explanation:
It helps to have some idea what the log function is.
__
a) The domain is all positive numbers: (0, ∞).
b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)
c) There is a vertical asymptote where the argument of the log function is zero: at x=0.
Answer:
Hi there!
The correct answer is: (0,1) maximum
Step-by-step explanation:
vertex: the point where the parabola crosses its axis of symmetry.
when the graph is concave down, maximum
when the graph is concave up, minimum
The difference is 
Explanation:
The expression is 
Removing the parenthesis, we have,

Factoring the terms
and
, we get,

Taking LCM, we get,

Simplifying the numerator, we get,

Subtracting the numerator, we have,

Hence, the difference is 
Answer:
81
Step-by-step explanation:
9x + 100 = 829
9x =829-100
= 729
x = 729/9
x = 81