Question

For the real-valued functions f(x)=sqrt(5x+20) and g(x)=x-2 , find the composition f o g(x) and specify its domain using interval notation.

Answer 1

\[f(x)=\sqrt{5x+20}\]
g(x)= x-2

Answer 2

Hey gane

Answer 3

\[\sqrt{5(x-2)+20}\]

Answer 4

yep.. this is f(g(x))
we need to find its domain ?

Answer 5

\[\sqrt{5x+10}\]?

Answer 6

Do i need to factor or just leave it as it is? And domain would be (-infinity,-2) union (-2,+infinity)?

Answer 7

check again..

Answer 8

domain of a function is the set of all values we can supply as input..

Answer 9

since its a real valued function,
5x+10 >= 0

Answer 10

Oh wait... Uhh.... (-2,+infinity)?

Answer 11

its
[-2, infiniti)

-2 included... sqrt(0) is 0. its defined !!

Answer 12

Arg -.-