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Chapter 4: Q. 21 (page 225)

Find the domain of the rational function.

Hx=3x2+xx2+4

Short Answer

Expert verified

The domain of the function is all real numbers. i.e.,-鈭�,鈭�

Step by step solution

01

Step 1. Given information 

The given function isHx=3x2+xx2+4

02

Step 2. Find the domain 

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

so,

x2+4鈮�0x2鈮�-4

There is no solution of this equation.

So, The domain of the function is all real numbers. i.e.,-鈭�,鈭�

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Most popular questions from this chapter

Solve the inequality algebraically.

x3+2x2-3x>0

Make up a polynomial function that has the following characteristics: crosses the x-axis at -1and 4, touches the x-axis at 0and 2, and is above the x-axis between 0and2. Give your polynomial function to a fellow classmate and ask for a written critique

One solution of the equation x3-8x2+16x-3=0 is 3.

Find the sum of the remaining solutions.

Use the Factor Theorem to prove that x+c is a factor of

role="math" localid="1646067091231" xn+cn if n鈮�1 is an odd integer

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.
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