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What is the inverse of the function f of x equals x to the power of one over x?
The inverse is not a function because it fails the vertical line test.
What is the inverse function of y equals 2x minus 4?
To find the inverse of a function, you replace x with y and y with x. Here, y=2x-4 would become x=2y-4. Now, we solve for y. 2y=x+4. y=(x/2)+4, and that is the inverse equation.
If (4 -5) is on the graph of F(x) which point must be on the graph of the inverse function F -1(x)?
If the point (4, -5) is on the graph of the function F(x), then the point (-5, 4) must be on the graph of the inverse function F⁻¹(x). This is because the inverse function swaps the x and y coordinates of the original function's points. Therefore, for every point (a, b) on F(x), the corresponding point (b, a) will be on F⁻¹(x).
Help find the inverse for this linear function h x 3 4 x plus 1?
To find the inverse of the linear function ( h(x) = 3x + 4 ), we first replace ( h(x) ) with ( y ): ( y = 3x + 4 ). Next, we swap ( x ) and ( y ): ( x = 3y + 4 ). Solving for ( y ), we subtract 4 from both sides to get ( x - 4 = 3y ), and then divide by 3: ( y = \frac{x - 4}{3} ). Thus, the inverse function is ( h^{-1}(x) = \frac{x - 4}{3} ).
What is the inverse of yx5 x4 x?
Put simply, the inverse of y=x^5+x^4+x is x=y^5+y^4+y. Unfortunately, this is a quintic function and there is no quintic formula.
What is the inverse of the function f(x) 4x?
if f(x) = 4x, then the inverse function g(x) = x/4
Is it possible for a fourth degree function to have an inverse that is a function?
In order for a fourth degree function to have an inverse function, its domain must be restricted. Otherwise the inverse function will not pass the vertical-line test.Ex.f(x) = x^4 (x>0), the original functionf-1(x) = x ^ (1/4), the inverse
Which function is the inverse function of y 5x - 4?
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What is the difference between a reciprocal function and an inverse function?
A reciprocal function will flip the original function (reciprocal of 3/5 is 5/3). An inverse function will change the x's and y's of the original function (the inverse of x<4,y>8 is y<4, x>8). Whenever a function is reflected over the line y=x, the result is the inverse of that function. The y=x line starts at the origin (0,0) and has a positive slope of one. All an inverse does is flip the domain and range.
What is the inverse of the function f of x equals x to the power of one over x?
The inverse is not a function because it fails the vertical line test.
What is the inverse of the function f(x) 2 - x?
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
What is the inverse function of y equals 2x minus 4?
To find the inverse of a function, you replace x with y and y with x. Here, y=2x-4 would become x=2y-4. Now, we solve for y. 2y=x+4. y=(x/2)+4, and that is the inverse equation.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
What is the inverse of the function f(x) 4x 8?
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
Why is the graph of an inverse of a function flipped over the line y x instead of another line?
Because the inverse of a function is what happens when you replace x with y and y with x.
What is the inverse of y equals x?
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.
What function is the inverse of a quadratic function?
If the quadratic function is f(x) = ax^2 + bx + c then its inverse isf'(x) = [-b + +/- sqrt{b^2 - 4*(c - x)}]/(2a)
