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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history. This is written as "(f o g)(x)", which is pronounced as "fcomposeg of x" And "( f o g)(x)" means "f (g(x))" That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into f The process here is just like what we saw on the previous page, except that now we will be using formulas to find values. { s ԋ ɂ X J C X g & o g b v I u j o T ̈ H X ł B g ѓd b ͂ AiPhone Android ̃X } g t H ł̂ p ɂ Ή Ă ܂ ̂ł o 悩 ł p ܂ B.
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Solution for If f(x) = x^22x1 and g(x) =(2x3), find each of the following functions (a) f o g (b) g o f (c) g o g o g. ~ b L f B Y j L N ^ ̎G ݂Ȃ AOI f p g ŁB f B Y j L N ^ O b Y ̒ʔ́B. ITAEKO ̃X e b vBY X e b v ̌ g t j StubHub ́A A J ő勉 ̃I C ` P b g T C g B R T g A A X c A C x g A l X ȃC x g ̃` P b g w ł ܂ B Ăčw ł Ȃ ` P b g A V Y ` P b g z _ ɓ Ȃ ԑO ̐ȂȂǂ Ƃ ł Ⴂ ܂ B.
{ C X g j O ͂ǂꂭ 炢 ̎ ԁE p x 悢 ̂ł H A ɗǂ Ȃ Ƃ ͖̂{ H ^ o R A ɗǂ Ȃ Ƃ ͖̂{ H. (h@g)(x)= 16x^28x1 For ease of visualisation set g(x)=y=4x1 So h(y)=y^22 but y=4x1 so by substitution we have (h@g)(x)= (4x1)^22 (h@g)(x)= (16x^28x1)2 (h@g)(x)= 16x^28x1. A For f(g(x) you take the f(x) equation, except, instead of the "x"s, you put in the "g(x)" equation Like this f(g(x)= 3(2x6) (then you multiply the 3 to the 2x6 and get) f(g(x)= 6x18 And that is your final answer For g(f(x) you do the exact reverse You start with the "g(x)" function, and then instead of the x, you stick in the f(x.
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