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Lab VI Rationals
1. Set the denominator equal to zero and solve for x. Those will be the values that make a rational
function undefined.
2
x −9=0
x 2=9
x=±√ 9
x=±3
The function is undefined when x = 3 or x = -3
2. To simplify factor numerator and denominator completely. Then remove terms that appear in
both numerator and denominator.
a.
2
x −5x
25x
x ( x−5)
25x
x−5
25
b.
2
x −1
2
x −3x+ 2
( x−1)( x+ 1)
( x−1)(x−2)
x+ 1
x−2
3. Simplify by factoring. Remember that dividing by a fraction is the same as multiplying by the
reciprocal. Remove the common factors that appear in both numerator and denominator.
a.
2x+ 5
x−1
⋅
x + 4x−5 4x...