Question

Consider the rational expressions x/(x-2) and x/(x-4).a)Evaluate each expression for x= 6. b)Evaluate each expression for x= 3.

Answer 1

a) × / ( × - 2) for × = 6 ⇒ 3/2

× / ( × - 4 ) for ×= 6 ⇒ 3

b) × / ( × - 2) for × = 3 ⇒ 3

× / ( × - 4 ) for ×= 3 ⇒ -3

Explanation:

The expression: × / ( × - 2) for × = 6 ⇒ 6/ ( 6 - 2) = 6/4 = 3/2

The expression: × / ( × - 4 ) for ×= 6 ⇒ 6/ (6 - 4) = 6/2 = 3

The expression: × / ( × - 2) for × = 3 ⇒ 3/ ( 3 - 2 ) = 3/1 = 3

The expression: × / ( × - 4 ) for ×= 3 ⇒ 3/ ( 3 - 4 ) = 3/ (-1) = -3