What are the domains of the following expressions:
a)
b)
c) d)
i know that this is hard but if you answer all of them it is worth 40 points.

  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)

c. side angle side. u shares the same sides