What values are excluded from the domain and range of the function f of x is equal to the fraction with numerator x plus 3 and denominator 2 x plus 5 ?

The denominator cannot be zero, so solve 2x + 5 = 0 to get x = -5/2; this value is excluded from the domain. For the range, the function can never equal 1/2: setting (x + 3)/(2x + 5) = 1/2 would give 2x + 6 = 2x + 5, which is impossible. Therefore, choice D is correct: the domain excludes -5/2 and the range excludes 1/2.

AI-written and checked against the verified answer.