Question

If f(x) = 2x and g(x)=1/x, what is the domain of (fog)(x)

x>_0

All real numbers except x=0

x<_0

all real numbers

Answer 1

B. all real numbers except x = 0

Explanation:

Answer 2

Domain is

All real number except at x=0

Explanation:

We are given

`f(x)=2x`

`g(x)=(1)/(x)`

Firstly, we will find (fog)(x)

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

`(fog)(x)=2g(x)`

now, we can plug back g(x)

`(fog)(x)=2*(1)/(x)`

`(fog)(x)=(2)/(x)`

Domain:

we know that domain is all possible values of x for which any function is defined

and we know that denominator of any function can not be zero

so, we set denominator =0

`x=0`

so, function will be defined for all values of x except at x=0

So, domain will be

All real number except at x=0