Question

Compare the domains of the logarithmic function f(x) and the square root function g(x).

https://northbranchsd.owschools.com/media/o_advalg_2015/2/img_-alg2_9_16a_01_figure10.gif

The domain of the function g(x) or f(x) is the same as or a subset of the domain of the function f(x) or g(x).

Answer 1

\[g(x)=\sqrt{x+3}+1\]

Answer 2

@jim_thompson5910 @satellite73 @Ghostgate @jango_IN_DTOWN @ganeshie8 @Michele_Laino

Answer 3

@mathstudent55

Answer 4

g(x)=\[\sqrt{x+3}+1 \]
let us consider the potion in the sqrt it must be greter them or equal to 0
therefore x+3>=0 imply x>=-3 so the domain of g(x) is {x: x belongs to R and x>=-3}
but the domain of f(x) is {x: x belongs to R and x>-3} (strictly greater than -3)

Answer 5

see domain of f(X) is subset of the domain of g(x) since f(x) contains only one element less than that in g(x) which is x=-3