Question

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

Answer 1

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

Answer 2

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

Answer 3

Yes Phi

Answer 4

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 ?

Answer 5

1

Answer 6

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

Answer 7

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