# Mathematics

2a. Determine (๐ x ๐)(๐ฅ) in simplified form and state its domain, given ๐(๐ฅ) = ๐๐๐๐ฅ and ๐(๐ฅ) =2 /๐ฅโ6

2b. Determine (๐ รท ๐)(๐ฅ) in simplified form and state its domain, given ๐(๐ฅ) = ๐ฅ + 8 and ๐(๐ฅ) = โ๐ฅ โ 8 (square root is over the whole expression "x-8"

2c. Determine (๐๐๐)(๐ฅ) in simplified form and state its domain, given ๐(๐ฅ) =
3/๐ฅโ2 and ๐(๐ฅ) =๐ฅ/2๐ฅโ3

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1. (f*g)(x) = f(x)*g(x) = logx * (2/(x-6))
(f+g)(x) = f(x)+g(x) = .....
(fโขg)(x) = f(g(x)) = 3/(g(x)-2) = 3/((x/(2x-3))-3) = (9-6x)/(5x-9)

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2. Why do f (x) and g (x) add up in question 2b? shouldn't they be divided?

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