Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the domain and range of #y=1/(x-1)^2#?

1 Answer

Jan 15, 2018

Domain: #x in RR#, #x ne 1#.
Range: #y>0#

Explanation:

The graph of #y=1/x^2# has domain #x in RR#, #x ne 0# and #y>0#.

#y=1/(x-1)^2# is a horizontal shift of 1 unit to the right, so the new domain is #x in RR#, #x ne 1#. The range does not change, so it's still #y>0#.

Related questions

See all questions in Domain and Range of a Function

Impact of this question

5351 views around the world

You can reuse this answer
Creative Commons License