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

Answer 1

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

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.