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Savatey [412]
3 years ago
9

If ANYONE could help ASAP Pls

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
ANSWER

The correct answer is C

EXPLANATION

This is the composition the two functions

We have

a(x) = 3x + 1

and

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

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

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

We substitute to obtain,

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

(b \circ \: a)(x) = \sqrt{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
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