SOLUTION: Determine the correspondence rule of (𝑓 ∘ 𝑔) and (𝑔 ∘ 𝑓), where 𝑓(𝑥) = 6𝑥^2 and 𝑔(𝑥) = 14𝑥 + 4, are the results equal?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Determine the correspondence rule of (𝑓 ∘ 𝑔) and (𝑔 ∘ 𝑓), where 𝑓(𝑥) = 6𝑥^2 and 𝑔(𝑥) = 14𝑥 + 4, are the results equal?      Log On


   

Question 1194857: Determine the correspondence rule of (𝑓 ∘ 𝑔) and (𝑔 ∘ 𝑓), where 𝑓(𝑥) = 6𝑥^2 and 𝑔(𝑥) = 14𝑥 + 4, are the results equal?
Answer by MathLover1(20850) About Me  (Show Source):
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Determine the correspondence rule of (𝑓 ∘ 𝑔) and (𝑔 ∘ 𝑓), where f%28x%29+=+6x%5E2+and g%28x%29+=+14x%2B+4, are the results equal?

𝑓( ∘𝑔 ) =f%28g%28x%29%29
𝑓( ∘𝑔 ) =f%2814x%2B+4%29
𝑓( ∘𝑔 ) =6%2814x%2B+4%29%5E2
𝑓( ∘𝑔 ) =1176x%5E2+%2B+672x+%2B+96


𝑔( ∘𝑓 )=g%28f%28x%29%29
𝑔( ∘𝑓 )=g%286x%5E2%29
𝑔( ∘𝑓 )=14%286x%5E2%29%2B+4
𝑔( ∘𝑓 )=84x%5E2+%2B+4

so, 𝑓( ∘𝑔 ) and 𝑔( ∘𝑓 ) are not+equal