How do you find the domain and range of #g(x)=1/(x+1)#?

2 Answers
SagarStudy
Jul 13, 2016

This is a Rational Function.
Rational Function is undefined when denominator becomes zero.
#implies# g(x) is undefined when denominator #x+1=0#.
#implies# g(x) is undefined when denominator #x=-1#.

#implies# This function is defined for all real numbers except #-1#.
#implies# Domain#=RR-{-1}#

This function can have any real value except zero,
#implies# Range#=RR-{0}#

Where #RR# is set of all real numbers.

SagarStudy
Jul 13, 2016

This is a Rational Function.
Rational Function is undefined when denominator becomes zero.
#implies# y is undefined when denominator #x+1=0#.
#implies# y is undefined when denominator #x=-1#.

#implies# This function is defined for all real numbers except #-1#.
#implies# Domain#=RR-{-1}#

This function can have any real value except zero,
#implies# Range#=RR-{0}#

Where #RR# is set of all real numbers.

Related questions
See all questions in Domain and Range of a Function
Impact of this question
7464 views around the world
You can reuse this answer
Creative Commons License