SOLUTION: sketch this equation and find domain and range f(x)= 2/x-3

Algebra.Com
Question 578687: sketch this equation and find domain and range
f(x)= 2/x-3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
sketch this equation and find domain and range
f(x)= 2/(x-3)
The denominator cannot be zero.
So the Domain is "All Real Numbers except x = 3".
-----
The Horizontal asymptote is y = (0*x)/(1*x) = 0/1 = 0
---
So the Range is "All Real Numbers except y = 0".
-----

===============
Cheers,
Stan H.
===============

RELATED QUESTIONS

find the domain and range of function f(x)=3x-2 and sketch a graph for this (answered by josgarithmetic,math_tutor2020)
A function f is given. f(x)=x-2, -2 < x < 3 i) Sketch the graph of x ii)Use the... (answered by stanbon)
f(x) = 10x^2 + 3 find domain and range (answered by drumwrrv)
Given {{{f(x)=2x-x^2+3}}}, find the domain, the range, the axis of symmetry, and the... (answered by ichudov)
Find the domain and range f(x)= 2-... (answered by edjones,stanbon)
Let f(x)=e^x sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes... (answered by stanbon)
F(x)=x²+2??? Domain and... (answered by algebrahouse.com,ewatrrr)
find the range and domain.... (answered by jim_thompson5910,MathLover1)
Find the domain and range f(x)=... (answered by ikleyn)