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(d) \\(f(y) = \\sqrt3{-7y - 5}\\) domain:

Question

(d) \\(f(y) = \sqrt3{-7y - 5}\\)

domain:

Explanation:

Step1: Identify the function type

$$f(y) = \sqrt[3]{-7y - 5}$$

Step2: Determine the domain constraint

An odd root is defined for all real numbers.

$$-7y - 5 \in \mathbb{R}$$

Step3: Write the final domain

$$(-\infty, \infty)$$

Answer:

\((-\infty, \infty)\)