0
Add your answer:
Earn +20 pts
Is the inverse of the function y x2 still a function?
Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.
Does every function have an inverse that is a function?
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
What is the inverse of x squared minus four?
1 over x2 - 4 is the multiplicative inverse of x2 minus four 1/x2 - 4
What is the inverse to the statement x equals y?
x=y is the identity. It is its own inverse. So the inverse is y=x.
What is inverse of a function?
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2
Is the inverse of the function y x2 still a function?
Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.
Does every function have an inverse that is a function?
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
Which functions do not have an inverse?
y = x2 where the domain is the set of real numbers does not have an inverse, because the square root function is a one-two-two mapping (except at 0). Any polynomial with more than one root, over the reals, has no inverse. y = 1/x has no inverse across 0. But it is possible to define the domain so that each of these functions has an inverse. For example y = x2 where x is non-negative has the square root function as its inverse.
What is the inverse of x squared minus four?
1 over x2 - 4 is the multiplicative inverse of x2 minus four 1/x2 - 4
What is Additive inverse of x2 yz is?
The additive inverse of x2yz is -x2yz
What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
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.
Inverse function of natural log of x2?
If the original equation is y=ln(x^2), then to find its inverse, you need to swap "y" and "x." This leads to: x=ln(y^2) x=2lny (property) x/2=lny (division) e^(x/2)=y y=e^(x/2)
What is the inverse to the statement x equals y?
x=y is the identity. It is its own inverse. So the inverse is y=x.
What is the inverse of a squaring a number?
The inverse operation of squaring a number is finding the square root of that number. In mathematical terms, if you square a number x, the result is x^2. The inverse operation would be taking the square root of x^2, which gives you the original number x. For example, if you square 3 (3^2 = 9), the square root of 9 is 3.
What is the multiplicative inverse of -4-y?
If y is equal to -4 there is not a multiplicative inverse. If y is different than -4 the inverse is: -1/(4+y)
What is the inverse of y equals 4?
Let N= inverse of Y Given 1/Y=4 ---> Y=1/4 inverse of 1/4 ---> 1/(1/4)=4 N=inverse of Y=4
