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Q: If a function uses variables other than x and y for its input and output variables you take the original equation and solve for the output variable to find the inverse?
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When you find the value of a variable you solve or check an equation?

when you find the value, you SOLVED the equation. you CHECK the equation when you substitute the value in the variables place and check that the equation is true.


What is the difference between implicit and explicit function?

implicit function is a function in which the dependent variable has not been given "explicitly" in terms of the independent variable. To give a function f explicitlyis to provide a prescription for determining the outputvalue of the function y in terms of the input value x: : :: y = f(x). By contrast, the function is implicit if the value of y is obtained from x by solving an equation of the form: : :: R(x,y) = 0. That is, if it is defined as the level set of a function in two variables: one variable or the other may determine the other, but one is not given an explicit formula for one in terms of the other. Formally, a function f:X→Y is said to be an implicit function if it satisfies the equation : :: R(x,f(x)) = 0 for all x∈X, where R is a function on the Cartesian product X × Y. Every function R defines an isocontour


Can you solve for a variable in an equation?

Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.


What is the name for values of an independent variable for a function that make its derivative equal to 0 or not defined but are not within the domain of the original function?

That sounds a lot like a critical point to me.


How do you solve a simultaneous equation with 3 variables?

You cannot have a simultaneous equation: you must have 2 or more equations for there to be any simultaneity.The simplest method to solve them is to invert the matrix of coefficients but this requires you to know matrix algebra and the question suggests tha you are not that advanced.In that case, express any one of the variables in terms of the other two. Substitute the resulting expression in the other equation(s). Repeat until you have only one variable. Find its value and substitute in the previous equation. That will then enable you to find a second variable. And so on.

Related questions

How does a function differ from an equation?

A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.


How do you solve -12 is less than or equal to -12?

You normally "solve" something when there is a variable involved. In this case there is no variable. All you have to do is decide whether it is true or false. If this is derived from an original equation (or, in this case, inequality) which involved variables, then if the equation (or inequality) without variables is true, it means it is true for ANY value of the variable. If it is false, the original equation (or inequality) can't be satisfied by any value of the variable.


What shows the relationship between two variables?

A function expresses the relationship between two or more variables. A function can be expressed as a mathematical equation or as a graph. In general, a function expresses a the effect an independent variable has on the dependent variable..For example, in the classic linear function:y = mx + bx and y are the variables (m is said to be the slope, and b is the constant). This function expresses the mathematical relationship between the variables x and y. In this function, x is said to be the independent variable, and the function destines the y variable to be dependent upon the value of x.


What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?

substitution


What is the difference between a linear equation with one variable and a linear equation with two variables?

A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.


Reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?

Substitution


What reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?

substitution


What reduces an equation that has two variables to an equation that has one variable It is the possible to find the solution for this variable?

substitution


What Reduces an equation that has two variables to an equation that has one variable?

Substitution........apex


When can we say that a function is a relation?

When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").


When can we say that a relation is a function?

When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").


Why do you isolate variables for math?

You isolate variables in math because the point of an equation is to solve for the variables. By isolating the variables you have learned what that variable stands for and thus solved the equation.