Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2.
1 answer:
For this case we must find the domain of the following function:
By definition, the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero, that is:
Thus, the domain of the function is given by real numbers except 2.
Answer:
All real numbers except 2
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Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:
Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:
The vertical shift is 11 units down, which means:
For period:
Final answer:
Hence, the cosine function is shown below;