How do you find the domain and range of $y = 1/x+4$ ?

Question

1739 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-25T03:31:46

Domain: $x$ does not equal $0$
Range: $y$ does not equal $4$

To find the domain, ask "What can or can't $x$ equal?"

In this case, $x$ can equal anything but zero, since you can't divide by zero.

To find the range, we can simply say that since x can equal anything but zero, $1/x$ equals everything but zero.

Therefore, the range is $y$ does not equal 4.

How do you find the domain and range of y = 1/x+4y = 1/x+4?