Calc
posted by Chelsea on .
Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains.
f(x)= square root of x, g(x)= cube root of 1x
These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me. Help please!
a) 5th root of 1x
Domain?
b) The cube root of (1 minus the square root of x)
Domain?
c) Fourth root of x
Domain= [0, infinity]
d) The cube root of (1 minus the cube root of 1 minus x)
Domain?

a. Odd roots of negative numbers can be negative, thus (32)^1/5 has a root 2. So the domain of x is all real x.
b.same argument
c. you cannot take the even root of a negative number, so you are correct.
d. same a,b