Question

For the indicated functions f and g, find the functions fog, and gof, and find their domain.

f(x)=x^3 g(x)=x^2-x+1

Answer 1

f o g means that f is a function of g. this means that you will need to plug in the function g(x) for the value x in f(x). this should look like:
f(g(x))=(x^2-x+1)^3. for g o f plug f(x) into g(x)

Answer 2

to find their domains, you will have to see what values the function will allow. The function should not return any imaginary values when any real number is plugged into x.

Answer 3

Thank u!

Answer 4

you're welcome