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.
