Question

Can someone see if I'm right please?
Which of the following is true about the function below?
1/√x+4

A.) Its domain is (-4,∞) and its range is (-∞, ∞)
B.) Its domain is [-4, ∞) and its range is (-∞, 0) U (0, ∞)
C.) Its domain is (-4, ∞) and its range is (0, ∞)
D.) Its domain is (-∞, 0] and its range is (0, ∞)

Is it A?

Answer 1

Do you have a function image?

Answer 2

@IMStuck no, what I had written above was the only thing given to me.

Answer 3

Which implies you were given a graph or equation, if not, this makes no sense.

Answer 4

@precal oops, they gave me this. 1//√x+4

Answer 5

*** 1/√x+4

Answer 6

so you are sure that domain is (-4,\(\infty\))

for range, can you answer this: 1/√(x+4) can ever be negative ?

Answer 7

@hartnn Range can't be negative

Answer 8

range can be negative but value of 1/√(x+4) would never be negative as answer to square root is always positive,
so denominator is always positive
numerator =1 well, always positive.

so 1/√(x+4) cannot be negative , and hence its range is \((0,\infty)\)

Answer 9

@hartnn oh, ok I understand now. So now would the final answer be D?

Answer 10

haha, no domain is still (-4, ∞)
any doubts?

Answer 11

@hartnn oh I see it now! ok. Thank you!

Answer 12

welcome ^_^