What is the domain of f(x) = cos(x)?
2 answers:
Option D: The set of all real numbers
Explanation:
Given that the function
We need to determine the domain of the function.
The domain of the function is the set of all input values for which the function is real and well defined.
In other words, the domain of the function is the set of all independent x - values of the function.
Thus, the function cos (x) is real and well defined in the interval
Hence, the function cos (x) is real and well defined for all real numbers.
Therefore, the domain of the function is the set of all real numbers.
Hence, Option D is the correct answer.
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a )
Two solutions.
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b )
One solution .
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c )
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d )
One solution.
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e )
Two solutions.
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f )
Two solutions .
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Answer: (A) The image of JKL after a 90° counterclockwise about the origin is shown in figure 1. (B) The image of JKL after a reflection across the y-axis is shown in figure 2.
Explanation:
(A)
From the given figure it is noticed that the coordinate points are J(-4,1), K(-4,-2) and L(-3,-1).
If a shape rotate 90 degree counterclockwise about the origin, then,
Therefore, the vertex of imare are J'(-1,-4), K'(2,-4) and L'(1,-3). The graph is shown in figure (1).
(B)
If a figure reflect across the y-axis then,
Therefore, the vertex of imare are J''(4,1), K''(2,-4) and L''(3,-1). The graph is shown in figure (2).
