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

2 Answers
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.

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.