oxygen, hexagon, galaxy, exigent, exaggerate, exiguous, exegesis, extravagant and probably a few more.
if f(x) = x² → g(x) = ⅟₇ x² = x² / 7
The composite function ( G(F(x)) ) is formed by taking the output of the function ( F(x) ) and using it as the input for the function ( G ). In other words, you first evaluate ( F(x) ) to obtain a value, and then substitute that value into ( G ). This composition effectively combines the two functions into a single function where the behavior of ( G ) is influenced by the output of ( F ).
The composition of two odd functions is an even function. If ( f(x) ) and ( g(x) ) are both odd, then for their composition ( (f \circ g)(x) = f(g(x)) ), we have ( (f \circ g)(-x) = f(g(-x)) = f(-g(x)) = -f(g(x)) = -(f \circ g)(x) ). Thus, ( (f \circ g)(x) ) satisfies the definition of an even function.
To find ((f + g)(x)), we first need to express (f(x)) and (g(x)) clearly. Given (f(x) = 3x + 10x = 13x) and (g(x) = 4x - 2), we can add them together: [ (f + g)(x) = f(x) + g(x) = 13x + (4x - 2) = 17x - 2. ] Thus, ((f + g)(x) = 17x - 2).
if f(x) = x² and g(x) = 4 - x, then: fg(x) = (4 - x)² = 16 - 8x + x2 gf(x) = 4 - x² (f+g)(x) = x² + 4 - x (f - g)(x) = x² - 4 + x (fg)(x) = 4x² - x³ (f/g)(x) = x²/4 - x (iff x ≠ 4)
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -X---G--G. That is, nine letter words with 2nd letter X and 6th letter G and 9th letter G. In alphabetical order, they are: expunging expurging
Oxidizing
The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x².
Galaxy. "Galaxy" is spelled g-a-l-a-x-y.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern --G-X---. That is, eight letter words with 3rd letter G and 5th letter X. In alphabetical order, they are: digoxins
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -X--G--. That is, seven letter words with 2nd letter X and 5th letter G. In alphabetical order, they are: exergue expugns
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 4 words with the pattern -X----G. That is, seven letter words with 2nd letter X and 7th letter G. In alphabetical order, they are: exeming exiling exiting exuding
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According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern G--T-X--. That is, eight letter words with 1st letter G and 4th letter T and 6th letter X. In alphabetical order, they are: geotaxes geotaxis
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern F-X--G-. That is, seven letter words with 1st letter F and 3rd letter X and 6th letter G. In alphabetical order, they are: fixings foxings
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -X--G-E. That is, seven letter words with 2nd letter X and 5th letter G and 7th letter E. In alphabetical order, they are: exergue
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern G-X-S. That is, five letter words with 1st letter G and 3rd letter X and 5th letter S. In alphabetical order, they are: goxes