Question

The domain of f(g(x)) is:

Answer 1

x ≥ 0

Step-by-step explanation:

Given the function f(x) and g(x) defined below:

`f(x)=3x-1,g(x)=√(x)`

The composite function f(g(x)) is:

`f(g(x))=3\sqrt[]{x}-1`

The domain of the function is the value at which the value under the square root sign is non-negative.

Therefore:

`\text{Domain of f(g(x)): }x\ge0`

The first option is correct.