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The domain and range of the composite function depend on both of the functions that make it up.
The domains of polynomial, cosine, sine and exponential functions all contain the entire real number line. The domain of a rational function does not, since its denominator has zeros, and neither does the domain of a tangent function. (1/2)x = true (8/3)x = true
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The domain and range of the composite function depend on both of the functions that make it up.
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Yes, superposition theorem holds true in AC circuits as well. You must first convert an AC circuit to the phasor domain and the same rules apply.
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A function is a mapping between two sets, the domain and the range, such that each element in the domain is mapped to only one element in the range. This is true for all lines in a plane except those that are parallel to the y-axis. Thus, all non-perpendicular lines are functions but vertical lines are not functions.
A function is a mapping between two sets, the domain and the range, such that each element in the domain is mapped to only one element in the range. This is true for all lines in a plane except those that are parallel to the y-axis. Thus, all non-perpendicular lines are functions but vertical lines are not functions.
For any function f(x) with domain D, if a=b is an element of D, then f(a)=f(b). (Never seen it, but is true and replaces all other properties of equality.)