Give the function based on the given domain?

With the domain of { t#in#R}
Give two possible functions related to the domain

  • with the domain of { t#in#R/t#!=#0}
  • with the domain of t#in#(-#oo#.-3) #uu#(-3,#oo#)
  • with the domain of {x#in#R/x#!=#4 or x#!=#-2}

1 Answer
Feb 21, 2018

Some examples...

Explanation:

Using the fact that division by #0# is undefined and #ln 0# is also undefined, we can find examples for each case:

Case #{t in RR : t != 0 }#

  • #f(t) = 1/t#
  • #f(t) = ln abs(t)#

Case #t in (-oo, -3) uu (-3, oo) :}#

  • #f(t) = 1/(t+3)#

  • #f(t) = ln abs(t+3)#

Case #{ t in RR : t != 4 ^^ t != -2 }#

  • #f(t) = 1/((t-4)(t+2)) = 1/(t^2-2t-8)#

  • #f(t) = ln abs(t^2-2t-8)#