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Chapter 7: Q. 378 (page 736)

Determine the values for which the rational expression is undefined.

b-7b2-25.

Short Answer

Expert verified

Rational function can be undefined atb=5,-5.

Step by step solution

01

Step 1. Given data

Given that the rational function isR(x)=b-7b2-25.

02

Step 2. Rational function

Take R(x)=b-7b2-25

On applying the property of difference of two squares,

x2-y2=(x-y)(x+y)b2-25b2-52(b-5)(b+5)R(x)=(b-7)(b-5)(b+5)

When the denominator is zero, the rational function can be undefined.

(b-5)(b+5)=0b=5,-5Atb=5,R(x)=5-725-25=鈭�Atb=-5,R(x)=-5-725-25=鈭�

whenb=5,-5rational function is undefined.

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