Question

f(x)=x^3+4 state any restrictions on the domain ?

Answer 1

Domain is R

Answer 2

R being all real numbers

Answer 3

by the way how u know the domain by just looking at the equation plz say

Answer 4

No you don't If you draw the graph x^(3)+4 =y then you will notice that the domain includes all real numbers

Answer 5

ok thnx

Answer 6

There are a few things you need to know about domains

Answer 7

Want me to go over it with you?

Answer 8

If you have a rational function (a fraction) like x^3/x-3, the domain can't include 3 because the denominator can never be 0 (you cant divide by zero).

For a square root function such as (3x+3)^(1/2) or \[\sqrt{ (3x+3}\]
you cant take the square root of a negative number thus the domain is restricted to numbers that make 3x+3 positive or zero

If you have an equation with that doesn't have either of these things the domain will be R

Answer 9

all real numbers I mean or \[\mathbb{R}\]

Answer 10

ook thnx u

Answer 11

You might also have to deal with logarithmic functions

Answer 12

if you want me to explain them I can

Answer 13

really domains are easy :P once you understand them

Answer 14

sure

Answer 15

So look at the definition of
\[\log _{b}(x) = y\]
which means the same thing as
\[b^y = x\]

if you draw a logarithmic function you can notice that x can never be 0 or negative
Thus the domain is restricted to all numbers that are positive but not zero

Same thing with ln function which is just
\[\log _{e}(x)\]
e being just a number you can look it up

Answer 16

ok thnx aloy