anonymous
  • anonymous
find the domain y=f(x)=x^2-6x+6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
domain means the values which 'x' can take in that equation.
hartnn
  • hartnn
do u see any values that 'x' can't take ?
anonymous
  • anonymous
i dont get it......??

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More answers

hartnn
  • hartnn
(1)there is no denominator, if there was, then 'x' could not take values for which denominator=0
anonymous
  • anonymous
so ther is no soln for this??
hartnn
  • hartnn
(2) there is no \(\sqrt.\) sign, if there was , then 'x' cannot take values for which the expression under \(\sqrt{...}\)becomes negative.
hartnn
  • hartnn
here, none of the 2 cases (1) or (2) arise. so 'x' can take all real values.
hartnn
  • hartnn
so, domain is ALL real numbers R
hartnn
  • hartnn
understood ?
anonymous
  • anonymous
sorry i quite didnt get it
hartnn
  • hartnn
which par ?
anonymous
  • anonymous
x belongs to R then can we supoose any no we want in the place of x??
hartnn
  • hartnn
yes, x can take any real value. u have options/choices ?
anonymous
  • anonymous
how wud u solve this prob?
hartnn
  • hartnn
example : f(x) =1/ x x cannot take value =0 f(x) = 1/(x-3) x cannot take value = 3 f(x) = sqrt{x-4} x cannot take value less than 4
anonymous
  • anonymous
can u be mo` specific...?i cant understand
hartnn
  • hartnn
i just gave u specific examples. and there's nothing to solve, you can say 'x' can take all real values...
anonymous
  • anonymous
y did u add -3 in da denominator?
ParthKohli
  • ParthKohli
By the way, all polynomials have the domain \((-\infty,\infty)\) a.k.a \(\mathbb{R}\).
anonymous
  • anonymous
can u do the whole process??
anonymous
  • anonymous
Domain means whenever the function exists. To figure this out, just find when the function does not exist, meaning when you're dividing by 0. In this case, you're never dividing by 0, so the function ALWAYS exists, so the domain is ]-inf,inf[, also know as "R" for all real numbers. If say f(x) = 1/(x-4), then the domain is ]-inf,-4[U]-4,inf[, because the function exists everywhere except at x=-4.

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