SOLUTION: Graph the function: f(x)=(5x-1)/(-x+2) and find: a) domain and range b) equation of its asymptote c) graph its inverse d) domain and range of its inverse

Algebra.Com
Question 1043505: Graph the function:
f(x)=(5x-1)/(-x+2)
and find:
a) domain and range
b) equation of its asymptote
c) graph its inverse
d) domain and range of its inverse

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Asymptote (vertical) at x=2.
Domain is the union of and .
Root at crossing the x-axis.
Horizontal asymptote of .
You can check on range, looking near the critical x values of 1/5 and 2.

Graph the inverse?
Try setting to and see what you find. Is this actually a function, or not?
-






-

RELATED QUESTIONS

Graph f(x) = log2(x – 3) + 1. Find its domain, its range, and the equation of its... (answered by lwsshak3)
For each function, graph the function and its inverse. If the inverse is a function,... (answered by MathLover1)
Given f(x)=-3x^2+5 a) Graph f and its inverse. b)Determine the equation of the... (answered by josgarithmetic)
Given f(x)=-3x^2+5 (a) graph f and its inverse b) Determine the equation of the... (answered by josgarithmetic)
Given the function f(x)=〖log〗_2 (x-2)-1. 1. Graph the function 2. Find its... (answered by MathLover1)
sketch a graph of the function f(x)=3log(2x-2)+4. identify the key features. a) domain... (answered by ikleyn)
use the given function to answer a through f f(x)=ln(2x)+5 a. domain b. graph f c.... (answered by lwsshak3)
Solve each equation. Show all steps and work. Round your answers to four decimal places. (answered by MathLover1)
Graph y=f-1(x) if the graph of y=f(x)= 2x +5 restricted in the domain {x|-2 <_ x<_ 1.5|} (answered by ikleyn)