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Which expression represents the composition [f o g](x) for the functions below? f(x) = 2x + 3 g(x) = x – 6
2x – 9
2x – 3
2x – 15
2x2 – 9x – 18

Respuesta :

sandraijcast1
The answer would be 2x-9. If you need help to see how to work it out, let me know 

Answer:

Option A is correct

2x-9

Step-by-step explanation:

Given the functions:

f(x) = 2x + 3

g(x) = x -6

We have to find  [f o g](x).

[tex][fog](x) = f[g(x)][/tex]

Substitute the function g(x),

[tex][fog](x) = f[x-6][/tex]

Replace the value of x with x-6 in f(x) we have;

[tex][fog](x) =2(x-6)+3[/tex]

⇒[tex][fog](x) =2x-12+3[/tex]

⇒[tex][fog](x) =2x-9[/tex]

Therefore, the value of [tex][fog](x)[/tex] is, 2x-9