Answer:
1/27
Step-by-step explanation:
27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)
= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27
<span>1/3 is equivalent to a decimal that does not terminate.
A terminating decimal is one that ends. Some decimals never end, however. If you divide 1 by 3 using the standard algorithm, you will get 0.333333... repeating forever. This is a non-terminating decimal, or repeating decimal.
In contrast, 1/4 is equal to 0.25, which is a terminal decimal.</span>
Answer:
c
Step-by-step explanation:
The domain of the composite function is given as follows:
[–3, 6) ∪ (6, ∞)
<h3>What is the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given as follows:

In this problem, the functions are:
.
The composite function is of the given functions f(x) and g(x) is:

The square root has to be non-negative, hence the restriction relative to the square root is found as follows:


The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:





Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:
[–3, 6) ∪ (6, ∞)
More can be learned about composite functions at brainly.com/question/13502804
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