Question

What is the domain and range of the function y=7/2x-10 ?

Answer 1

you mean y=7/(2x-10) or y=(7/2x)- 10

Answer 2

is it
\[y=\frac{7}{2x-10}\]?

Answer 3

yes

Answer 4

you cannot divide by 0 so x cannot be 5

Answer 5

so domain is all real numbers except 5
range: ratio can never be 0 because for a fraction to be 0 the numerator has to be 0 and this numerator is 7

Answer 6

so range is all numbers except 0

Answer 7

Oh ok so how would i write that as interval notation?

Answer 8

doamin all real numbers except 5 ,

Answer 9

it is stupid to write all numbers except 5 as an interval because it is easier to say it. but if you have to, you can write
\[(-\infty,5)\cup(5,\infty)\] which a rather silly way to say "exclude 5"

Answer 10

LOl alrity thank you.