Answer:
a) x ≥ -2
b) x ≥ 7/2
c) x < 5
d) x ≥ 0
Step-by-step explanation:
The argument of the square root function cannot be negative, and the denominator of a fraction cannot be zero. Any values of x that satisfy these criteria are part of the domain.
a) x ≥ -2 . . . . the radical content cannot be negative
b) x ≥ 7/2 . . . . simplifies to √(14(2x-7)), so 2x ≥ 7 ⇒ x ≥ 7/2
c) x < 5 . . . . x cannot be 5, but must be less for the root to exist
d) x ≥ 0 . . . . simplifies to √(2x)
