Question

f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function?

A. (-infinity,2]
B. (-infinity,7) U (7,infinity)
C. [2,7) U (7,infinity)
D. (2, infinity)

Answer 1

sqrt(x-2) /( x-7) ???
x must be 2 or greater or we have the square root of a negative number, which is not real.
x may not be 7 or we have a zero in the denominator
therefore
2 to 7 and 7 to + infinity
C

Answer 2

Is C the quotient function of f/g?

Answer 3

yes