Look at the function f(x) = x2 + 3. Which of the following describes the domain and range of the function and its inverse?

Answer:The third option is the closest option available.Step-by-step explanation:The domain includes all real numbers, while the range only includes values that are greater than or equal to 3 (since f(0) = 3 ).To find out the details for the inverse, we need to find the inverse itself.So, to do this, let's quickly substitute y for f(x).[tex]f(x)=x^2+3[/tex] becomes [tex]y=x^2+3[/tex].Now, we switch the positions of x and y, like so: [tex]x=y^2+3[/tex].Now, we solve for y.[tex]x=y^2+3\\x-3=y^2\\\sqrt{x-3}=y[/tex]So, the inverse is [tex]y=\sqrt{x-3}[/tex].This particular equation only provide valid outputs for all values of x that are greater than or equal to 3. So its domain includes all numbers greater than or equal to 3. The third option is the closest option available.