Question

Identify the composite function and its domain

Answer 1

The second answer is correct.
Square g(x), multiply by 3, 3x-6+4 = 3x-2.
The domain depends on the square root term which must have its argument greater or equal to zero.
Therefore x-2 >= 0, so x>=2

Answer 2

`f(g(x))=f(√(x-2))`

`f(g(x))=3(√(x-2))^(2)+4`

`f(g(x))=3(x-2)+4`

`f(g(x))=3x-6+4`

`f(g(x))=3x-2`

Domain:
g(x) must be greater than or equal to zero (no square roots of negative numbers) therefore x must be greater than or equal to 2. Answer is B.