Question

PLEASE Need Help Show Work

Answer 1

This set notation really seems the hard way to exclude a single value. Anyway...

The domain doesn't include where the denominator is zero, 4x + 7 = 0,

x = -7/4

The range doesn't include the asymptotic value, which is

y=2x/4x = 1/2

So we need domain x ≠ -7/4 and range y ≠ 1/2

Answer: First choice