**Find the domain and range of the following function given by π(π₯)=β(3π₯β5)(π₯+4)π₯3β16π₯.**

The **Answer to the Question**

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**Here's the Solution to this Question**

$f(x)=(3xβ5)(x+4)βx_{3}β16x$$(3x-5)(x+4)\geq0$$x\leq-4\ or\ x\geq5/3$

Domain:Β $(-\infin, -4]\cup [5/3, \infin)$

Range:Β $(-\infin, \infin)$