4 years ago

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

Mathematics

2 answers:

vekshin14 years ago

8 0

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

tatyana61 [14]4 years ago

5 0

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).

$[fog](x) = f[g(x)]$

Substitute the function g(x),

$[fog](x) = f[x-6]$

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

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

⇒ $[fog](x) =2x-12+3$

⇒ $[fog](x) =2x-9$

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

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