Question

Help ASAP). Let f (x) = 1 / x - 3 and g (x) = /x +5..What is the domain of ( fog) (x)? Look at the picture for the answer choices. Will Mark Brainliest. ​

Answer 1

Answer:

Domain: [-5,4) U (4,∞)

Step-by-step explanation:

$1/(\sqrt{x+5} )-3) \\= (\sqrt{x+5} )+3)/(\sqrt{x+5} )-3)(\sqrt{x+5} )+3) \\= (\sqrt{x+5} )+3)/(x-4)$

x = 4 is a singular point , y: undefined    x≠ 4

x = -5 , non-negative value of radical √x+5

Domain: [-5,4) U (4,∞)