Respuesta :
We will see that the odd functions were f(x) = x5 - 3*x3 + 2*x and f(x) = 1/x since only those were true under the specified circumstances.
What is function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. The most basic definition is that a function is a collection of ordered pairs of items, which in our instance will be numbers, but they may also be anything else, and which have the feature that their initial members are all distinct from one another. The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.
Here,
A function is odd,
f(-x) = -f(x) for every value of x in its domain.
1) f(x) = x^3 - x^2
f(-x) = (-x)^3 - (-x)^2
= -x^3 - x^2
f(-x) ≠ -f(x)
This function is not odd.
2) f(x) = x^5 - 3*x^3 + 2*x
f(-x) = (-x)^5 - 3*(-x)^3 + 2*(-x)
= -x^5 + 3*x^3 - 2*x = -f(x)
This function is odd.
3) f(x) = 4x + 9
f(-x) = 4*(-x) + 9
= -4*x + 9
-f(x) = -( 4*x + 9)
= -4*x - 9
f(-x) ≠ -f(x)
This function is not odd.
Because only these were true under the specified circumstances, we will find that the odd functions are f(x) = x^5 - 3*x^3 + 2*x and f(x) = 1/x.
To know more about function,
https://brainly.com/question/11024366
#SPJ4
Otras preguntas
