A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational numbers.In the case of one variable, , a function is called a rational function if and only if it can be written in the formwhere and are polynomial functions in and is not the zero polynomial. The domain of is the set of all points for which the denominator is not zero, where one assumes that the fraction is written in its lower degree terms, that is, and have several factors of the positive degree.Every polynomial function is a rational function with . A function that cannot be written in this form (for example, ) is not a rational function (but the adjective "irrational" is not generally used for functions, but only for numbers).An expression of the form is called a rational expression. The need not be a variable. In abstract algebra the is called an indeterminate.A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected.
You replace each variable by its value. Then you do the indicated calculations.
To evaluate an expression is nothing but to operate the given expression according to the operators given in the expression if it is evaluable i.e, it could be convertable.
-22x-8
a + bc + d
The expression X/(X+8) is undefined at X=-8, because that would be division by zero.
Which of these values of x make the expression undefined? 5-x/x(x-2)
pa iyot iyot lng , palami lami, pa utogutog, hantog sa mugahi og mudako...ana kalami ang oten.....
A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.Some examples of rational expressions:-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.Examples:1) x/2Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.2) 2/xSince the denominator x is a variable, the expression is undefined when x = 03) 2/(x - 1)x - 1 ≠0x ≠1The domain is {x| x ≠1}. Or you can say:The expression is undefined when x = 1.4) 2/(x^2 + 1)Since the denominator never will equal to 0, the domain is all real number values of x.
A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠ 0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.Some examples of rational expressions:-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.Examples:1) x/2Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.2) 2/xSince the denominator x is a variable, the expression is undefined when x = 03) 2/(x - 1)x - 1 ≠ 0x ≠ 1The domain is {x| x ≠ 1}. Or you can say:The expression is undefined when x = 1.4) 2/(x^2 + 1)Since the denominator never will equal to 0, the domain is all real number values of x.
A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.Some examples of rational expressions:-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.Examples:1) x/2Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.2) 2/xSince the denominator x is a variable, the expression is undefined when x = 03) 2/(x - 1)x - 1 ≠0x ≠1The domain is {x| x ≠1}. Or you can say:The expression is undefined when x = 1.4) 2/(x^2 + 1)Since the denominator never will equal to 0, the domain is all real number values of x.
8
Rational values- those are necessary to the functions and fulfillment of intellect and will.
probably x would be negative. This is because the square root of a negative number is not a real number (no real number squared can be negative). ory is 0. any number divided by 0 = infinity. and undefined is another way of saying infinity.
In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational numbers.In the case of one variable, , a function is called a rational function if and only if it can be written in the formwhere and are polynomial functions in and is not the zero polynomial. The domain of is the set of all points for which the denominator is not zero, where one assumes that the fraction is written in its lower degree terms, that is, and have several factors of the positive degree.Every polynomial function is a rational function with . A function that cannot be written in this form (for example, ) is not a rational function (but the adjective "irrational" is not generally used for functions, but only for numbers).An expression of the form is called a rational expression. The need not be a variable. In abstract algebra the is called an indeterminate.A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected.
numbers
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.