Answer:
B. 3^x +14x -2
Step-by-step explanation:
In general, the expression (f ⊛ g)(x) will mean the operation ⊛ will be performed on the values of the functions:
(f ⊛ g)(x) ≡ f(x) ⊛ g(x)
The exception is the "ring" or "composition" operator, which indicates the left function is performed on the right function:
(f ∘ g)(x) ≡ f(g(x))
The expression (f +g)(x) means the function values are added.
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For the functions here, we add them by combining like terms:
(f +g)(x) = f(x) +g(x)
= (3^x +10x) +(4x -2)
= 3^x +(10 +4)x - 2
= 3^x +14x -2 . . . . . . . . . corresponds to choice B
Answer:
The correct option is B. [tex](f+g)(x)=3^{x}+14x-2[/tex]
Step-by-step explanation:
Consider the provided function:
[tex]f(x)=3^{x}+10x[/tex] and [tex]g(x)=4x-2[/tex]
[tex](f+g)(x)[/tex] is saying we want to add [tex]f(x)[/tex]and [tex]g(x)[/tex].
In order to find the value of [tex](f+g)(x)[/tex] simply add them as shown below:
[tex](f+g)(x)=3^{x}+10x+4x-2[/tex]
[tex](f+g)(x)=3^{x}+14x-2[/tex]
Therefore, the correct option is B. [tex](f+g)(x)=3^{x}+14x-2[/tex]
