determine the domain and range of the function
f(x)=3/x-2+1. do not know how to explain

Question

determine the domain and range of the function 
f(x)=3/x-2+1. do not know how to explain

anonymous · Answer

is it (3/x)-2+1 or 3/(x-2+1)

phi · Answer

is this
$$ f(x)= \frac{3}{x-2} + 1 $$ ?

anonymous · Answer

Yes Phi

phi · Answer

For the domain  ("legal" x values)  start by assuming the domain is all real numbers from -infinity to plus infinity

then toss out any x values that cause a divide by 0
what number would cause you to divide by 0 ?

anonymous · Answer

1

phi · Answer

are you saying when x is 1 that the bottom of 3/(x-2) is 0 ?

phi · Answer

you do not want 3/0   (your calculator will complain if you try that)
that means if you have 3/(x-2)  you do not want x-2 = 0
but one x number will make x-2 be 0.  that is the number that you do not allow