Question

If f(x)=2x and g(x)=/x, what is the domain of (f o g)(x)? A) x=>0 B) x=0 C)x=<0 D) all real numbers

Answer 1

`f(x)=2x,\ g(x)=√(x)\\\\(f\circ g)(x)=2√(x)\\\\The\ domain:\\\\\boxed{x \geq 0}`

Answer 2

Domain is
`x\geq 0`

Explanation:

`f(x)= 2x`

`g(x)=√(x)`

Now find (fog)(x)

`(fog)(x)= f(g(x))`

Plug in square root (x) for g(x)

`(fog)(x)= f(g(x))=f(√(x))`

Now we plug in sqrt(x) for x in f(x)

`(fog)(x)= f(g(x))=f(√(x))=2√(x)`

To find out the domain , we find the domain of 2square root (x)

To find domain of square root function , we set x>=0

Domain is
`x\geq 0`