Which of the following is true about the function below? 1
√x+4
O A. Its domain is (-0, 0] and its range is (0,0).
B. Its domain is (-4,00) and its range is (0,0).
C. Its domain is (-4,-) and its range is (-00,00).
D. Its domain is [ – 4,00) and its range is (-0,0) U (0,0).

we have

we know that

the denominator can not be equal to zero and the term inside the square root can't be negative.

so

the domain is the interval--------> (-10,∞)

-10 < x < ∞

the range is the interval------> (0,∞)

0 < f(x) < ∞

using a graphing tool

see the attached figure

Statements

A. Its domain is (-∞,0] and its range is (0,∞)

The statement is false

B. Its domain is(-10,∞) and its range is(0,∞)

The statement is true

C. Its domain is(-10, ∞)and its range is(-∞,∞)

The statement is false

D. Its domain is[-10,∞) and its range is (-∞,0) U (0,∞)

The statement is false

the answer is d. (1.2, -4.7) on edgn

hope this !

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step-by-step explanation: