I need a little help here !!!
3) Find the domain of
f(x) = sqrt x / (ln (x^2 + 1) - 17) i don't know how to do this ..please use union
4) Find inverse f(x) = e^x^3 - 2 the -2 is not beside 3 it is beside x....i got cube root 3 of lnx + 2
Thanks
I need a little help here !!!
3) Find the domain of
f(x) = sqrt x / (ln (x^2 + 1) - 17) i don't know how to do this ..please use union
4) Find inverse f(x) = e^x^3 - 2 the -2 is not beside 3 it is beside x....i got cube root 3 of lnx + 2
Thanks
"Domain" is usally defined in terms of the GREATEST set of values. This makes it most convenient, very often, to consider a very GREAT set of values. Try starting with "All Real Numbers" and see what must be discarded.
ln(x) requires x > 0
sqrt(x) requires x >= 0
1/x requires x <> 0
What say you?
Assuming you mean "$\displaystyle f(x)= e^{x^3}}- 2$" and not "$\displaystyle f(x)= (e^x)^3- 2$" which would be more simply written "$\displaystyle f(x)= e^{3x}- 2$", and assuming you mean "cube root of (ln(x+ 2))" and not "cube root of (ln(x)+ 2)" or "cube root of (ln(x))+ 2", yes, that is correct.
Please use parentheses to clarify what you mean!
But what in the world is "cube root 3 of "??? I assume you mean just "cube root". "third root" would mean the same. Never use the unfortunate notation "root 3" or worse "squareroot 3" which I have seen before. Both of those would mean "square root of 3 times...".