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RafaNot with the default definitions of the domain (the real numbers) and range (reals greater than or equal to -3). With these definition the original function is many-to-one (except at one point) and so the inverse function - if it existed - would be one-to-many. A function cannot be one-to-many.
However, if you redefine the domain of the original function so that it is the non-negative reals, the function becomes one-to-one and so does have an inverse which is x = +sqrt(y + 3) - the principal square root of (y+3).
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What is the inverse function of fx equals 5x-24?
29
What is the inverse function of y equals 3x-3?
6
What is the inverse of the function y equals 5x-5?
10
P x r equals 176. what is the inverse?
One inverse is 176/r = P
What is the inverse function of y equals 7x plus 2?
First, this function is strictly increasing on the entire real line, so an inverse exist on the entire real line. We define inverse of function f, denoted f^-1 such that if y = f(x) then f^-1(y) = x Or to find the inverse, all is needed is to isolate x in terms of y. In this case, y = 7x + 2 7x = y - 2 x = (y - 2)/7 So the inverse is x = (y - 2)/7 What? You don't like function in terms of y? Well, they are just meaningless variables anyway, you can write whatever, in particular the inverse is y = (x - 2) / 7 (the x, y here are independent with the x, y above. If you are getting confused, write b = (a - 2)/7 where b is a function of a)
What is the inverse function of fx equals 5x-24?
29
What is this type of function called y equals mx to the power of -b?
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
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 y equals log 5 x?
log5x
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.
Does the function y equals 8x represent a direct or inverse variation?
Direct
Why is the graph of an inverse of a function flipped over the line y equals x instead of another line?
Because the inverse of a function is what happens when you replace x with y and y with x.
Is the inverse of the function y equals x2 still a function?
No. If you invert that function, it will produce an equation that gives you two return values for one input value. This does not meet the definition of a function.
Y equals 4x plus 3 is this a one to one function or an onto function and does it have an inverse function?
Assuming the domain and range are both the real numbers (or rationals): Yes, it is 1 to 1 Yes, it is onto and the inverse is x = (y-3)/4
What is the inverse function of A equals pi r squared?
The inverse function of A = πr^2 would involve solving for r in terms of A. To find the inverse function, start by dividing both sides by π to isolate r^2. Then, take the square root of both sides to solve for r. The inverse function would be r = √(A/π), where r represents the radius of a circle given the area A.
What is the inverse function of f fx equals sqrt2x-1?
3
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.
