Answer:
Domain is
All real number except at x=0
Step-by-step explanation:
We are given
[tex]f(x)=2x[/tex]
[tex]g(x)=\frac{1}{x}[/tex]
Firstly, we will find (fog)(x)
[tex](fog)(x)=f(g(x))[/tex]
[tex](fog)(x)=2g(x)[/tex]
now, we can plug back g(x)
[tex](fog)(x)=2\times\frac{1}{x} [/tex]
[tex](fog)(x)=\frac{2}{x}[/tex]
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
[tex]x=0[/tex]
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
Answer:
B. all real numbers except x = 0
Step-by-step explanation:
