It means you should rearrange the equation so that x is on one side of the equal sign, and everything else on the other, with no "x" on the right side of the equation.
For instance, if I was told to express x as a function of y and given the equation:
x-4y=6
I would express x as a function of y by rearranging the equation to read:
x = 6+4y
y and x are a example,like so: The mother board is the function of a computer the mother board is the Y and A computer is the x you replace y and x with something else its like filling the blanks what does _____ have to do with _____= what does Y have to do with X= what does time have to do with space
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
y = x This is a line and a function. Function values are y values.
A binary function is a function f if there exists sets X, Y, and Z, such that f:X x Y -> Z where X x Y is the cartesian product of X and Y.
implicit function/? an equation the function(x,y)=0 defines y implicitly as a function of x the domain of that implicitiy defines function consists of those x for which there is a unique y such that the function (x,y)=0
The zero of a function is a point where the function evaluates to zero. If you express "y" as a function of "x", i.e. y = f(x), then for a zero of the function, the y-coordinate is 0. In other words, the corresponding point is on the x-axis.
A function of x means that the answers depends on the value of x that is substituted into the function. For example: y = x + 1 If x = 1, y = 2 If x = 2, y = 3 and so on.
To solve for the inverse of an equation, first, replace the function notation (e.g., (y = f(x))) with (y). Then, swap the roles of (x) and (y) in the equation. After that, solve for (y) in terms of (x). Finally, replace (y) with (f^{-1}(x)) to express the inverse function.
If you mean x + y = 18 then it is the function of a straight line
Yes, y =5 is a constant function. Meaning that for any value of x (in the domain), the value of the function (y) is 5. The graph would be a horizontal line five units above, but parallel to, the x-axis. Another answer: The above comments are only valid if we specify that x is just some constant. In general, however, when we refer to the function y=f(x)=x we do not mean a constant function, but rather a diagonal line running through the origin. The function would be a constant function if it were y=f(x)=c for some c, but normally when we write y=x we mean that the value of y is the value of x, and hence y changes as x changes.
If ( y = x ), then to express ( x ) in terms of ( y ), you can simply rearrange the equation. This gives you ( x = y ). Thus, ( x ) is equal to ( y ).
y and x are a example,like so: The mother board is the function of a computer the mother board is the Y and A computer is the x you replace y and x with something else its like filling the blanks what does _____ have to do with _____= what does Y have to do with X= what does time have to do with space
To find the inverse of the function ( f(x) = 2x - 7 ), we first replace ( f(x) ) with ( y ): ( y = 2x - 7 ). Next, we solve for ( x ) in terms of ( y ): ( x = \frac{y + 7}{2} ). Finally, we swap ( x ) and ( y ) to express the inverse function: ( f^{-1}(x) = \frac{x + 7}{2} ).
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
To find the inverse of the function ( f(x) = -3x + 21 ), we first replace ( f(x) ) with ( y ), giving us ( y = -3x + 21 ). Next, we solve for ( x ) in terms of ( y ): ( x = \frac{21 - y}{3} ). Finally, we switch ( x ) and ( y ) to express the inverse function: ( f^{-1}(x) = \frac{21 - x}{3} ).
To write an equation showing ( y ) as a function of ( x ), you typically want to express ( y ) in terms of ( x ), isolating ( y ) on one side of the equation. For example, if you have a linear equation like ( 2x + 3y = 6 ), you can rearrange it to ( y = -\frac{2}{3}x + 2 ). This format clearly indicates that ( y ) is dependent on the value of ( x ).
The function is f(x, y) = x/y where x, y are real, and y ≠0