Question

What is the domain of this radical function? f(x)\:=\:\sqrt{x\:+\:1}\:-\:3 A. [3, ∞) B. [-3, ∞) C. [1, ∞) D. [-1, ∞)

Answer 1

D. [-1, ∞]

Explanation:

for this equation, the graphing calculator 'desmos' (i'll put the link below) to graphically see the function. check out the image below to see what it looked like as a graph.

The domain of a function refers to the width of the function or the values along the x axis (horizontal). Alternatively range refers to the height of the function along the y axis.

as we can see in the image, the lowest x value the function reaches is -1, whilst the line continues infinitely in the positive direction. therefore we say the domain for the function is [-1, ∞]

let me know if this helps or if you have any further questions!! :)