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It depends on the domain and codomain. In complex numbers, that is, when the domain and codomain are both C, every quadratic always has an inverse.
If the range of the quadratic in the form ax2 + bx + c = 0 is the set of real numbers, R, then the function has an inverse if
(a) b2 - 4ac ≥ 0
and
(b) the range of the inverse is defined as x ≥ 0 or x ≤ 0
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Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
Is the inverse of a quadratic function not a function?
Yes, what you do is imagine the function "reflected" across the x=y line. Which is to say you imagine it flipped over and 'laying on its side". Functions have only one value of y for each value of x. That would not be the case for a "flipped over" quadratic function
What is the inverse function of -6?
-6 is a number, not a function and so there is not an inverse function.
What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
Is the inverse of a quadratic function is square root function?
yes
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)
Is the inverse of a quadratic function not a function?
Yes, what you do is imagine the function "reflected" across the x=y line. Which is to say you imagine it flipped over and 'laying on its side". Functions have only one value of y for each value of x. That would not be the case for a "flipped over" quadratic function
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
How do you find the additive inverse of a quadratic equation?
Change all the signs. Suppose you have the quadratic equation: y = ax2 + bx + c Its additive inverse is -ax2 - bx - c.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
What is the inverse function of -6?
-6 is a number, not a function and so there is not an inverse function.
What is the inverse of a cubic function?
The inverse of the cubic function is the cube root function.
What part of speech is quadratic function?
A quadratic function is a noun. The plural form would be quadratic functions.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
