Posted by **Hannah** on Thursday, November 4, 2010 at 3:24pm.

The following function f is one-to-one; find its domain and range.

f(x) = 5 / x+3

Domain = x cannot be -3

Range= I do not know how to find this.

- Math -
**Reiny**, Thursday, November 4, 2010 at 4:43pm
consider it as

y = 5/(x+3)

Can you replace any number for y ?

let's try y = 8

8 = 5/(x+3)

8x + 24 = 5

etc.

notice we could put any number for y and we would get a solution for x, or ....

what about y = 0

0 = 5/(x+3)

0(x+3) = 5

0 = 5 -----> contradiction

so y can be anything except y ≠ 0

there is your range.

## Answer this Question

## Related Questions

- Math - HELP PLEASE!!! I'm having some trouble with this question on my Maths hw...
- precalculus check immediately - suppoe f is a function with domain [1,3]and ...
- math (2nd Try) - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 ...
- Math - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The...
- Algebra - Ok I got another one I can figure out The one-to-one function f is ...
- Algebra-I'm still stuck - The one-to-one function f is defined by f(x)=(4x-1)/(x...
- algebra - Find the domain and range of the relation and determine whether it is ...
- math - questions involving domain and range... 1. Find the domain of the ...
- Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...
- alg 1 - Quadratic graphs and their properties: Identify the domain and range of ...