criley225
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The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 3x + 8 and g(x) = x2.

Find (f • g)(x).


3x3 + 3x2 + 8


3x2 + 8


x2 − 3x − 8


3x3 + 8x2

Answer :

Answer:

[tex]3x^2 + 8[/tex]  

Step-by-step explanation:

Given functions,

[tex]f(x) = 3x + 8 ----(1)[/tex]

[tex]g(x) = x^2 -----(2)[/tex]

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

[tex]=f(x^2)[/tex]             ( From equation (2) )

[tex]=3x^2 + 8[/tex]          ( From equation (1) )

Hence,

[tex](fog)(x)=3x^2 + 8[/tex]  

Second option is correct.

Answer:B

Step-by-step explanation:

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