Question

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

Answer 1

Answer:

Third choice

Step-by-step explanation:

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

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

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

However any numbers that are excluded from the domain of f must also be excluded from the domain of $g\circ f$.

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

Answer 2

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: