1 Answer

BlueVoodoo · Answer 1 · 2019-12-19T05:33:44+0000

ANSWER

The correct answer is C

Step-by-step explanation

This is the composition the two functions

We have

a(x) = 3x + 1

and

$(b \circ \: a)(x) = b(a(x))$

$(b \circ \: a)(x) = b(3x + 1)$

We substitute to obtain,

$(b \circ \: a)(x) = √((3x + 1) - 4)$

$(b \circ \: a)(x) = √(3x - 3)$

The domain of this function can be found by solving,

$3x - 3 \geqslant 0$

This implies that

$3x \geqslant 3$

Or

$x \geqslant 1$

In interval notation, we have,

$[1, \infty )$

The correct answer is option C

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

No related questions found

Other Questions