SOLUTION: Determine the domain of the function h(x)= 3x/x(x^2-81)
Algebra.Com
Question 29821: Determine the domain of the function h(x)= 3x/x(x^2-81)
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
h(x) = 3x/ x(x^2-81).
That is h(x) = 3/(x^2-81) (canceling x not zero)
Since division by zero is not defined, h(x) cannot be defined for (x^2-81)=0
And (x^2-81) = 0
implies (x+9)(x-9) = 0 (using a^2-b^2 = (a+b)(a-b) where a = x and b = 9)
that is for (x+9)=0 giving x=-9 and for (x-9) = 0 giving x = 9
Therefore the funciton h(x) is defined for all x EXCEPTING x = -9 and x = 9
Therefore the funciton h(x) is defined for all x other than -9 and 9
Therefore the domain of the given function is the
complement of {-9,9} in the real number system R
That is Domain = R - {-9,9}
RELATED QUESTIONS
Determine the domain of the function h(x) = 3x/ x(x^2-81).... (answered by sdmmadam@yahoo.com)
What is the domain of the function... (answered by math-vortex)
Find the domain of the function h
{{{x/(x^2+3x+2)+2/(x+1)}}} , where x is real.... (answered by Fombitz)
Determine the domain of the function {{{f(x) =... (answered by longjonsilver)
Determine the domain of the function... (answered by rapaljer)
Determine the domain of the function
f(x) = (x + 1)3/2... (answered by stanbon)
determine the domain and the range of the function of f(x)= 3x... (answered by MathLover1)
Determine the domain: h(x):... (answered by Fombitz)
Determine the domain and the range of the function. f(x)=sqrt( 3x-2)
(answered by MathLover1)