What is the domain and range of #(5x-3)/(2x+1)#?

1 Answer
Narad T.
Jan 18, 2017

The domain is #D_f(x)=RR-{-1/2}#
The range is #R_f(x)=RR-{5/2}#

Explanation:

Let #f(x)=(5x-1)/(2x+1)#

As you cannot divide by #0#, #x!=-1/2#

The domain of #f(x)# is #D_f(x)=RR-{-1/2}#

#lim_(x->+-oo)f(x)=lim_(x->+-oo)(5x)/(2x)=5/2#

The range of #f(x)# is #R_f(x)=RR-{5/2}#

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