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Is the inverse of a quadratic function is square root function?

yes


What is an inverse of a function?

The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.


How does inverse function work?

Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.


What does inverse mean in math terms?

The term inverse is normally used in the context of a function of an operation. The inverse of a function "undoes" whatever it is that the first function does.There may be none, one or many (including infinitely many) inverses - depending on the nature of the first function. For example,if the first function is multiply by 0, there is no inverse.if the first is double a number the (single) inverse is halve the number.if the first is square the number, the inverse are finding the negative and positive square roots.if the first is calculate the tangent of an angle, the inverse is calculate the arctangent of the value, and add n*pi radians (n*180 degrees) for the infinitely many integers values for n.


What kind of symmetry indicates that a function will not have an inverse?

If a function is even ie if f(-x) = f(x). Such a function would be symmetric about the y-axis. So f(x) is a many-to-one function. The inverse mapping then is one-to-many which is not a function. In fact, the function need not be symmetric about the y-axis. Symmetry about x=k (for any constant k) would also do. Also, leaving aside the question of symmetry, the existence of an inverse depends on the domain over which the original function is defined. Thus, y = f(x) = x2 does not have an inverse if f is defined from the real numbers (R) to R. But if it is defined from (and to) the non-negative Reals there is an inverse - the square-root function.

Related Questions

What is the inverse function of xx?

XX or X*X, can be written as X squared. The inverse of a function "sort of cancels it out". I know the inverse of a square is the square root. Since we need the inverse of X squared, it's inverse is the square root of X. sqrt(x)


Is the inverse of a quadratic function is square root function?

yes


What is an inverse of a function?

The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.


How does inverse function work?

Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.


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)


What is the parent function of a square root?

x


What is the inverse of 12 squared?

The answer depends on what the inverse refers to.The additive inverse of 12 is -12 and so the square of the additive inverse of 12 is (-12)^2 = 144.The multiplicative inverse of 12 is 1/12 and so the square of the multiplicative inverse of 12 is (1/12)^2 = 1/144.The "square" function is many-to-one and so, strictly speaking, does not have an inverse. However, many ppoeple consider the [principal] square root as the inverse. In that case, the answer is 3.4641, approx.


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.


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.


Inverse operation of a square?

Square root is the inverse operation of a square.


What is the function of a plants cells nucleus?

the function of that is the inverse function of the exponential growth of an animal cell. square root that and multiply it by 2, then ull get ure answer.


What is the function of a plant cells Nucleus membrane?

the function of that is the inverse function of the exponential growth of an animal cell. square root that and multiply it by 2, then ull get ure answer.