Question

w(t)=3t-1. Find w(9)

Answer 1

find domain of f(x)=x+3/x+2

Answer 2

anybody know how to do this

Answer 3

what's say 25/0?

Answer 4

can you actually get a value from \(\bf \cfrac{25}{0}\) ?

Answer 5

no

Answer 6

so it's undefined?

Answer 7

yes

Answer 8

The domain can be ANY real number except -2
Because then it can be UNDEFINED!
Understood? :)

Answer 9

\(\bf f(x) = \cfrac{x+3}{x+2}\)

if the denominator in a fraction becomes "0", then then the fraction becomes undefined, yes
thus when taking that into account for the DOMAIN, or values "x" can take
we have to keep in mind that the denominator of the rational mustn't be undefined

so the values "x" can take are the ones that won't make the denominator 0

Answer 10

so (-1,infintity)?

Answer 11

look at AkashdeepDeb line above :)

Answer 12

i get that but how do i say that

Answer 13

if x= -2, then x+2 becomes
(-2) + 2 = 0

if you give "x" any other value, negative or positive, it won't make the denominator 0

Answer 14

ok. so my domain is all real numbers other than -2

Answer 15

well, I guess I could put it as \(\bf \large x \in \mathbb{R}; x \ne -2\)

Answer 16

ok thanks