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What is the domain of #( 6 + 3x^(3) -4x^(2) -17x ) / ( x^(3) -3x^(2) -10x )#?

1 Answer

Oct 1, 2015

Domain: #RR - {-2, 0, 5}#

Explanation:

The given expression is valid for all values of #x# except those for which the denominator is equal to zero.

#x^3=3x^2-10x != 0#

Factoring:
#(x)(x-5)(x+2) != 0#

Therefore
#x!=0# and #x!=5# and #x!=-2#

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