The set {x ∈ R ; x ≠ -2} is the set of all those real numbers, except x = -2.
False
The domain of a parabola is always all real numbers because the domain represents the possible x values. The x values are shown on the horizontal axis or x axis. Because, in a parabola, the 2 sides of the parabola go infinitely in a positive or negative direction, there is always a y value for any x value that u plug in to the equation.
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
No because natural numbers are a subset of real numbers
A "complex number" is a number of the form a+bi, where a and b are both real numbers and i is the principal square root of -1. Since b can be equal to 0, you see that the real numbers are a subset of the complex numbers. Similarly, since a can be zero, the imaginary numbers are a subset of the complex numbers. So let's take two complex numbers: a+bi and c+di (where a, b, c, and d are real). We add them together and we get: (a+c) + (b+d)i The sum of two real numbers is always real, so a+c is a real number and b+d is a real number, so the sum of two complex numbers is a complex number. What you may really be wondering is whether the sum of two non-real complex numbers can ever be a real number. The answer is yes: (3+2i) + (5-2i) = 8. In fact, the complex numbers form an algebraic field. The sum, difference, product, and quotient of any two complex numbers (except division by 0) is a complex number (keeping in mind the special case that both real and imaginary numbers are a subset of the complex numbers).
The domain is all real numbers except 0.
It could be either depending on the function that you have.
The domain is all real numbers except when the denominator equals zero: x2 - 4 = 0 x2 = 4 x = 2, -2 So the domain is all real numbers except 2 and -2.
The cotangent function has domain all real numbers except integral multiples of pi./2(90degrees).
tan(x) is the same as sin(x) / cos(x). Domain is all the real numbers, except those numbers where the cos(x) = 0. That is, the domain does not include pi/2, 3pi/2, 5pi/2, etc. The range includes all real numbers.tan(x) is the same as sin(x) / cos(x). Domain is all the real numbers, except those numbers where the cos(x) = 0. That is, the domain does not include pi/2, 3pi/2, 5pi/2, etc. The range includes all real numbers.tan(x) is the same as sin(x) / cos(x). Domain is all the real numbers, except those numbers where the cos(x) = 0. That is, the domain does not include pi/2, 3pi/2, 5pi/2, etc. The range includes all real numbers.tan(x) is the same as sin(x) / cos(x). Domain is all the real numbers, except those numbers where the cos(x) = 0. That is, the domain does not include pi/2, 3pi/2, 5pi/2, etc. The range includes all real numbers.
all real numbers except 1
All real numbers except zero.
All real numbers except 2
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
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