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

Question

3 years ago

5

of the following describes the domain of

1 answer:

Dmitrij [34] · Answer 1 · 2022-06-26T08:36:12+03:00

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then, x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus, If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.