Question

find the domain of function g(x)=x+9/x^3+4x.
Can someone show me how to work this one step by step please?

Answer 1

someone please help me with this problem

Answer 2

When finding the domain of a function you just need to make sure that everything is defined. In your case there's only division by zero to worry about if you write this as
\[\frac{ (x+9) }{ x(x^{2}+4) }\]
you can see that the only problematic point is x=0 as there's no solution for x^2+4=0 for real numbers.

Answer 3

so your final solution would be R without 0

Answer 4

what do you mean R without 0

Answer 5

R is the symbol for real numbers or should i say if x is from R then x can be any real number. On the other hand since we don't know how to divide by zero we need to exclude that case. Not sure if that makes any sense to you but if not you should read up on numbers on wikipedia.

Answer 6

yes i see now. Thank you very much

Answer 7

np

Answer 8

can you help me with another similar one

Answer 9

sure

Answer 10

find the domain of function g(x)= 7x/x^2-4

Answer 11

can you show me how to enter the problem in ordered pair solution. exp. ( )

Answer 12

i guess using the infinity sign

Answer 13

and the big u symbol, which i am not sure what that means

Answer 14

this time it's 7x/(x-2)*(x+2) so we excluse 2 and -2
for ordered pairs
you can write it as any of the following
R\{2,-2}
(-\[(-\infty,-2)\cup(-2,2)\cup(2,\infty)\]

Answer 15

the U symbol means union basically

Answer 16

oh ok

Answer 17

for example {3,5)U{1,2,3}={1,2,3,4,5}

Answer 18

thanks

Answer 19

another one ?

Answer 20

sure