A. 8 b. 4 c. 16 d. 12
2 answers:
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The inequality that describes the possible values of the expression is:
The expression is given by:
To find the lower bound, we try to see when the expression is negative, hence:
Applying cross multiplication and simplifying the 3's, we have that:
From the bounds given, this expression will never be true, at most they can be equal, when:
a = b = 4.
Hence the lower bound of values of the expression is of 0.
<h3>What is the upper bound of values of the expression?</h3>The expression is a subtraction, hence we want to maximize the first term and minimize the second.
Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:
- Maximize b, hence b = 5.
- Minimize a, hence a = 4.
Then:
Hence the bounds are:
More can be learned about values of expressions at brainly.com/question/625174
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Answer:
(d) f(x) = log₆(x)
Step-by-step explanation:
If we use y in place of f(x), we see that ...
x = 6^y
Taking logs of both sides, we get ...
log(x) = y·log(6)
y = log(x)/log(6)
y = log₆(x) . . . . . . . using the change of base formula
f(x) = log₆(x)
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Or you can get there more directly using the relation between logs and exponentials: