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Chapter 4: Q. 22 (page 225)

Find the domain of the rational function.

G(x)=x-3x2+1

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 is Gx=x-3x4+1

02

Step 2. Find the domain

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

so,

x4+1鈮�0x4鈮�-1

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

If a rational function is proper, then______ is a horizontal

asymptote.

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

R(x)=8x2+26x-74x-1

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

f(x)=x3-8x2+17x-6

Solve the given inequality algebraically.

x+1x-1>0

In Problems 63鈥�72, find the real solutions of each equation.

x4+4x3+2x2-x+6=0
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