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Chapter 4: Q. 15 (page 225)

Find the domain of the rational function.

-4x2x-2(x+4)

Short Answer

Expert verified

The domain of the given function is鈥�-鈭�,鈥�-4鈭�-4,鈥�2鈭�2,鈥�鈭�鈥�

Step by step solution

01

Step 1. Given information  

The given function isH(x)=-4x2x-2x+4

02

Step 2. Find the domain  

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

So,

x-2(x+4)鈮�0x-2鈮�0x鈮�2orx+4鈮�0x鈮�-4

Thus, the domain of the given function is all real numbers except 2and -4

Therefore, the domain islocalid="1646074172973" 鈥�-鈭�,鈥�-4鈭�-4,鈥�2鈭�2,鈥�鈭�鈥�

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Most popular questions from this chapter

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

Ct=t2t2+1

Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.

Factor the expression6x2+x-2.

Find the real zeros of f. Use the real zeros to factor f.

f(x)=4x4-15x3-8x2+15x+4

One solution of the equation x3+5x2+5x-2=0 is -2.

Find the sum of the remaining solutions.

In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

f(x)=x3+42.2x2-664.8x+1490.4
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