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Determine if the function defined by the given equation is odd, even or neither.$$f(x)=\frac{3 x}{4 x^{2}+9}$$

Odd

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

McMaster University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Determine if the function …

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State whether the function…

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to determine why their function is art, even or neither. We use the definition here, gives the definition off, even function and out function the most important part to test why their functions that his fights the definition is to find the expression off minor set to find the F minor sex. We just don't need to replace X with minor sex in the expression off FX. In this exercise, F X equals three eggs over four x squared plus nine. So by replacing X with minors x, we get f minus. X equals miners three x over four times the square off minor sex plus nine. Since the square off X equals the square off minor sex, this gives miners three x over four X squared plus nine so we can see that this function is an out function, since F X equals the other side off Miners X, which satisfies the definition off our function

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