What is the range of the function ?
#y=(4x-3)/(2x)#
1 Answer
Dec 28, 2017
Explanation:
Given:
#y = (4x-3)/(2x)= 2-3/(2x)#
Then:
#3/(2x)=2-y#
So taking the reciprocal of both sides:
#2/3x = 1/(2-y)#
Multiplying both sides by
#x = 3/(2(2-y))#
So for any
#y = (4x-2)/(2x)#
So the range is the whole of the real numbers except
#(-oo, 2) uu (2, oo)#
graph{y = (4x-3)/(2x) [-10, 10, -5, 5]}