The functions are f(x) = 3x + 4 and g(x) = 5 + x.
a) (f + g)(x)
(Substitute f(x) = 3x + 4 and g(x) = 5 + x)
(Add: )
b) (f g)(x)
(Substitute f(x) = 3x + 4 and g(x) = 5 + x)
Apply commutative property of addition: .
(Subtract: )
c)
(Substitute f(x) = 3x + 4 and g(x) = 5 + x)
(Using FOIL method)
d)
, (Substitute f(x) = 3x + 4 and g(x) = 5 + x)
Because x = 5 then 5 + x = 0, is excluded from the domain of .
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