If f(x) = 8x[tex][/tex] and 2 +1[tex]g(x) = 2x[/tex], find [tex](f[/tex]°x)[tex]g)([/tex]

A. 16x + 1
B. 16x + 8
C. 16x^2 + 8x
D. 10x + 1

Respuesta :

Answer:

B. [tex]16x+8[/tex]

Step-by-step explanation:

We have, [tex]f(x)=8x[/tex] and [tex]g(x)=2x+1[/tex].

It is required to find [tex]f\circ g(x)[/tex].

Substituting the functions, we get,

[tex]f\circ g(x)[/tex]

⇒ [tex]f(g(x))[/tex]

⇒ [tex]f(2x+1)[/tex]

⇒ [tex]8\times (2x+1)[/tex]

⇒ [tex]16x+8[/tex]

Thus, we have,

[tex]f\circ g(x)[/tex] = [tex]16x+8[/tex].

Hence, option B is correct.

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