Question

If a(x) = 3x + 1 and b (x) = StartRoot x minus 4 EndRoot, what is the domain of (b circle a) (x)?

Answer 1

Answer:

The domain is [1,∞)

Step-by-step explanation:

The given functions are:

$a(x)=3x+1$

and

$b(x) = \sqrt{x - 4}$

We want to find the domain of

$(b\circ a)= \sqrt{3x + 1 - 4}$

Simplify to get:

$(b\circ a)= \sqrt{3x -3}$

This function is defined when the expression under the radical is greater or equal to zero.

$3x -3 \geqslant 0 \\ x \geqslant 1$