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Chapter 11: Q6. (page 699)

State the excluded value for the function.

y=2x

Short Answer

Expert verified

The excluded value for the functiony=2x is x=0.

Step by step solution

01

Step 1. Define a rational function.

A function of the formy=pq is called a rational function, wherepandq are the polynomials andq鈮�0.

02

Step 2. Define quotient of power rule.

The quotient of power rule is given by

aman=am鈭�n

Where, is any non-zero real number.

03

Step 3. 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.

04

Step 4. Simplify the expression 16x2y38xy.

Use quotient of power rule to simplify the expression .

Denominator=0

x=0

Therefore the excluded value for the function role="math" localid="1648016402847" y=2xis x=0.

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