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Chapter 11: Q7. (page 699)

State the excluded value for the function.

y=1x鈭�6

Short Answer

Expert verified

The excluded value for the functiony=1x鈭�6 is x=6.

Step by step solution

01

Step 1. Define a rational function.

A function of the formy=pqis called a rational function, where pandqare the polynomials andq鈮�0.

02

Step 2. Define the excluded values for the rational function.

Any value of a variable that results in a denominator of zero in a rational function is excluded from the domain of the function and these values are called the excluded values of the rational function.

03

Step 3. Calculate the excluded value for the function y=1x−6.

Observe the rational function y=1x鈭�6.

For excluded value,

Denominator=0

x鈭�6=0x=6

Therefore the excluded value for the functiony=1x鈭�6 is x=6.

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