若函数fx=2x+1分之1-x的值域是具体方法!

若函数fx=2x+1分之1-x的值域是具体方法!
若函数fx=2x+1分之1-x的值域是
具体方法!

若函数fx=2x+1分之1-x的值域是具体方法!
f(x)=(-x-0.5+1.5)/[2(x+0.5)]
=[-(x+0.5)+1.5]/[2(x+0.5)]
=-(x+0.5)/[2(x+0.5)]+1.5/[2(x+0.5)]
=-1/2+3/(4x+2)
3/(4x+1)≠0
所以-1/2+3/(4x+)≠-1/2
所以值域(-∞,-1/2)∪(-1/2,+∞)