Question

Given f(x)= √7x and g(x)=1/x-8

Which value is the domain of fog?
A. x ≠ 8
B. x > 0
C. x ≥ 8
D. x ≠ 0

Answer 1

The value of the domain of fog is x ≠ 8.

Step-by-step explanation:

The domain of the composition of functions f(g(x)) is determined by the domain of the inner function g(x) that does not result in any undefined values for the composite function. To find the domain of fog, we need to consider the restrictions on g(x) and find any values of x that would cause the composite function to be undefined. The function g(x) is defined as 1/(x-8), so x cannot be equal to 8 because it would result in division by zero. Therefore, the correct answer is A. x ≠ 8.