Question

I need help to finish a problem:

f(x)=ln(2x) and g(x)=e^x. What is the domain for the functions f(g(x)) and g(f(x))?

I received the answers

f(g(x))=ln2+x
g(f(x))=2x

How do I know what the domain is?

Answer 1

The domain should be R-{----} where --- is space for number which doesn't give any real value as a result or which makes the function undefined

Answer 2

F(G(x)) = ln2+x

For all real values of x the result is a real number
So domain is R

Answer 3

Similarly find for G(f(x))

Answer 4

I´m sorry, I don´t follow you... :)

Answer 5

The domain of any function is
the set of real numbers - the set of those numbers which don't satisfies the function

Answer 6

domain is the set of points where a given function is defined i8.e for every value of real x there exists a real value of the function
since your function does not give any imaginary values for any value of x therefore the domain for both the function is xbelongs to R

for further clarity domain of function 1/x is R-{0} as at 0 the function gives an imaginary value or is not defined

please fan and medal

Answer 7

had the function been ln2x then the domain would have been x>0 as log of negative numbers is not defined

Answer 8

hope it helps u