Respuesta :
Given that,
[tex]f(x)=x+7\\\\g(x)=\dfrac{1}{x-13}[/tex]
To find,
[tex](f\circ g)(x)[/tex]
Solution,
We know that,
[tex](f\circ g)(x)=f(g(x))\\\\=f(\dfrac{1}{x-13})\\\\=\dfrac{1}{x-13}+7\\\\=\dfrac{7x-90}{x-13}[/tex]
Domain is the set of input value. For the above function, if we put x = 13, then it will become undefined.
Domain = {x I x ≠ 13}
Hence, the correct option is (D) "StartSet x vertical line x not-equals 13 EndSet".
