Answer:
The domain is [1,∞)
Step-by-step explanation:
The given functions are:
[tex]a(x)=3x+1[/tex]
and
[tex]b(x) = \sqrt{x - 4} [/tex]
We want to find the domain of
[tex](b\circ a)= \sqrt{3x + 1 - 4} [/tex]
Simplify to get:
[tex](b\circ a)= \sqrt{3x -3} [/tex]
This function is defined when the expression under the radical is greater or equal to zero.
[tex]3x -3 \geqslant 0 \\ x \geqslant 1[/tex]
