The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the
following describes the domain of (gof)(x)?
all real values except X -3 and the x for which fex) 7
all real values except X -3 and the x for which f(x) -3
all real values except x 7 and the x for which f(x) 7
all real values except x * 7 and the x for which f(x) -3

Respuesta :

Answer:

Third choice

Step-by-step explanation:

The domain of f(x) is the set of all real values except 7, i.e [tex]x\ne7[/tex]

and the domain of g(x) is the set of all real values except -3, i.e [tex]x\ne -3[/tex]

The domain of [tex]g\circ f[/tex] is the set of all real numbers x in the domain of [tex]f[/tex]  such that [tex]f(x)[/tex] is in the domain of [tex]g(x)[/tex].

However any numbers that are excluded from the domain of f must also be excluded from the domain of [tex]g\circ f[/tex].

Therefore the correct choice is all real values except x=7 and the x for which f(x) =7

Answer:

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the

the right answer is all real values except x = 7 and the x for which f(x) = -3

Step-by-step explanation: