# Calculus question If functions f and g have domains Df and Dg respectively

*label*Mathematics

*timer*Asked: Jan 4th, 2018

*account_balance_wallet*$5

**Question description**

If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by

(A) the union of Df and Dg

(B) the intersection of Df and Dg

(C) the intersection of Df and Dg without the zeros of function g

(D) None of the above

Let the closed interval [a , b] be the domain of function f. The domain of f(x - 3) is given by

(A) the open interval (a , b)

(B) the closed interval [a , b]

(C) the closed interval [a - 3 , b - 3]

(D) the closed interval [a + 3 , b + 3]

## Tutor Answer

here is the work

Question 1:

True or False. The two functions f and g defined by

f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive

are equal?

If functions f and g have d...

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