Question

F(x)=2x and g(x)=square root of x what is the domain of f(g(x))?

Answer 1

Answer:

$x\ge 0$

Step-by-step explanation:

The given functions are:

$f(x)=2x$

and

$g(x)=\sqrt{x}$

Now,

$f(g(x))=f(\sqrt{x} )$

$f(g(x))=2\sqrt{x}$

The domain refers to values of $x$ for which $f(g(x))=2\sqrt{x}$ is defined.

The  expression under the radical sign must not be negative.

The domain is

$x\ge 0$