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What else can I help you with?
In the function G F x G depends on F and F depends on x?
true
What are the compsition of function?
A composition function, regarding two functions, is when you apply the first function on the second function on an argument. Bear in mind that a single, unaltered function is when you apply said function to an argument; a composition function simply applies the result of an application as an argument to another function. For example, if one function is defined as f(x) = x + 4 and another is defined as g(x) = 2x, the composition of the two (where f is applied to g) is f(g(x)) = 2x + 4. Note that composition is not commutative; that is, f(g(x)) is not necessarily equivalent to g(f(x)), unless if the functions are either the same or inverses of each other, in which case the result will be the argument; f(f-1(x)) = f-1(f(x)) = x.
What is the integral of the quantity of the derivative with respect to x of the function f times another function of x defined as g subtracted by g prime times f divided by g squared with respect to x?
∫ [f'(x)g(x) - g'(x)f(x)]/g(x)2 dx = f(x)/g(x) + C C is the constant of integration.
When a function contains points how do you find inverse of the points?
Suppose a function f(.) is defined in the following way: f(1) = 3 f(2) = 10 f(3) = 1 We could write this function as the set { (1,3), (2, 10), (3,1) }. The inverse of f(.), let me call it g(.) can be given by: g(3) = 1 g(10) = 2 g(1) = 3
If hx equals f o g x and hx equals sqrt x plus 5 find gx if fx equals sqrt x plus 2?
g(x) = x + 3 Then f o g (x) = f(g(x)) = f(x + 3) = sqrt[(x+3) + 2] = sqrt(x + 5)
In the function g(f(x)) depends on gand g depends on x?
Function "f" depends on "x", and function "g" depends on function "f".
In the function G F x G depends on F and F depends on x?
true
2.If fx 12x and gx 3 x find and simplify the defining equation of the composition function f circle g.?
The composite function f of g is also expressed as f(g(x)). In this case, it would be 12(3x), or 36x.
In the function G(F(x)) F depends on G and G depends on x?
In the function G(F(x)), F is a function that relies on G, creating a circular dependency where G's output influences F's behavior. Simultaneously, G itself is dependent on the input x, indicating that changes in x will affect G's output. This interdependence can lead to complex relationships and potentially recursive behavior, depending on how F and G are defined. Care must be taken to ensure that such dependencies do not lead to infinite loops or undefined outcomes.
When gx and fgx are known how do you find fx where fx gx are functions of x and fgx is a function of gx?
Since g(x) is known, it helps a lot to find f(x). f(g(x)) is a new function composed by substituting x in f with g(x). For example, if g(x) = 2x + 1 and f(g(x)) = 4x2+ 4x + 1 then you you recognize that this is the square of the binomial 2x + 1, so that f(g(x)) = (f o g)(x) = h(x) = (2x + 1)2, meaning that f(x) = x2. if you have a specific example, it will be nice, because there are different ways (based on observation and intuition) to decompose a function and write it as a composite of two other functions.
What are the notes in a blues scale of g?
G, A#, B#, C#, D#, E# and Fx (I'm using all scale degrees for this). Fx is F double sharp which means 'F sharp sharp', which is the same as G.
If the function g is the inverse of the function f, then f(g(x))=?
= x
What are the notes in G sharp minor?
Natural minor: G#, A#, B, C#, D#, E, F#, G# Harmonic minor: G#, A#, B, C#, D#, E, Fx, G# Melodic minor: G#, A#, B, C#, D#, E#, Fx, G#, F#, E, D#, C#, B, A#, G#
Fx equal 1 and gx equal xx are f and g the same function?
no, f(x) = 1 and g(x) = xx are not the same function. The first function maps all values of x to 1. In essence, no matter what x is, the value f(x) will always equal 1. g(x) maps all values of x to the square of the number entered. For example, g(2) = 4 while f(2) = 1. Because the two functions do not have equivalent outputs for the same input, they cannot be the same function.
What notation represents a function as f x instead of y?
'Y' is a function 'f' of 'x': Y = f(x) . 'Z' is a function 'g' of 'y': Z = g [ f(x) ] .
Introduced the function notation fx?
f(X)=4x+4 is the exact same thing as y=4x+4. it simply means the function of x is 4x+4. also, any other letter can be used in place of f. f(X)=4x+4 is the same as g(x)=4x+4.
What is f(g(4))?
That means that function "g" is first applied to the number 4. Then, the result of that is used with function "f".
