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gavmur [86]
3 years ago
14

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

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

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

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