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Chapter 4: Q. 17 (page 225)

Find the domain of the rational function.

F(x)=3xx-12x2-5x-3

Short Answer

Expert verified

The domain of the given function is-鈭�鈥�,鈥�-12鈭�-12,鈥�3鈭�3,鈥�鈭�鈥�

Step by step solution

01

Step 1. Given information

The given function is鈥�Fx=3xx-12x2-5x-3

02

Step 2. Find the domain    

For the domain, the denominator should not be equal to zero.

So,

2x2-5x-3鈮�02x2-6x+x-3鈮�02x(x-3)+(x-3)鈮�0taking2xand1outascommon2x+1x-3鈮�0takingx-3outasacommon2x+1鈮�02x鈮�-12orx鈮�3

Thus, the domain of the given function is all real numbers except -12and 3

Therefore, the domain islocalid="1646075792279" -鈭�鈥�,鈥�-12鈭�-12,鈥�3鈭�3,鈥�鈭�鈥�

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Most popular questions from this chapter

True or False : A test number for the interval-2<x<5could be 4.

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