Function "f" depends on "x", and function "g" depends on function "f".
F(x) = + 1 and G(x) = 3x
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G(F(x)) =~F(x) = and G(x) = 1F(x) = + 1 and G(x) = 3xF(x) = x + 1 and G(x) =orF(x) = 3x and G(x) = + 1-F(x) = x+ 1 and G(x) =G(F(x)) = x4 + 3~F(x) = x and G(x) = x4F(x) = x + 3 and G(x) = x4F(x) = x4 and G(x) = 3orF(x) = x4 and G(x) = x+ 3-It's F(x) =x4 andG(x) = x+ 3G(F(x)) =4sqrt(x)F(x) = sqrt(x) and G(x) = 4x
Given the function g(f(x)) = 2-x, you can find the domain as you would with any other function (i.e. it doesn't matter if it's composite). The output, however, has to be a real number. With this function, the domain is all real numbers. If you graph it, you see that the function is defined across the entire graph, wherever you choose to plot it.
For the function G defined by G(x)=5x+3, find G(2b).
F(x) = + 1 and G(x) = 3x
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true
Oh, dude, it's like a math riddle! Technically, GFx and FGx are equal because of the commutative property of multiplication. So yeah, GFx = FGx, but like, does it really matter in the grand scheme of things? Just go with it and move on, man.
true
There is hot cross buns which is the following:b-a-gb-a-gg-g-g-ga-a-a-ab-a-gAnd there is also Aluetag-a-b-ba-g-a-b-g-gg-a-b-ba-g-a-b-gAnd the only other I know is Bounceb-g-bb-g-ba-ag-g-a-ab-a-gHope this helped!
It means that there is a function - which is here named with the generic name "g"; it might be any function - and that this function depends on variable "y".
G(F(x)) =~F(x) = and G(x) = 1F(x) = + 1 and G(x) = 3xF(x) = x + 1 and G(x) =orF(x) = 3x and G(x) = + 1-F(x) = x+ 1 and G(x) =G(F(x)) = x4 + 3~F(x) = x and G(x) = x4F(x) = x + 3 and G(x) = x4F(x) = x4 and G(x) = 3orF(x) = x4 and G(x) = x+ 3-It's F(x) =x4 andG(x) = x+ 3G(F(x)) =4sqrt(x)F(x) = sqrt(x) and G(x) = 4x
Given the function g(f(x)) = 2-x, you can find the domain as you would with any other function (i.e. it doesn't matter if it's composite). The output, however, has to be a real number. With this function, the domain is all real numbers. If you graph it, you see that the function is defined across the entire graph, wherever you choose to plot it.
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.
= x
g(-3) and g(5) are not functions but the values of the function g(x) at the points x = -3 and x = 5.