Question

College Algebra Math Question 4?
1.Find the domain of the composite function f o g.
f(x)= 3x+9; g(x)= square root of x

2. Determine which two functions are inverses of each other.
f(x)= 4x g(x)= x/4 h(x)= 4/x

3. For the function f, use composition of functions to show that f^-1 is as given.
A) f(x) = x + 9/6, f^-1(x) = 6x - 9

B) f(x) = 5 + x/x, f^-1(x) =5/x - 1

C) f(x) = x^3 - 9, f^-1(x) = cubic square root of √ x + 9

4. Find the inverse of the function.
f(x)= cubic square root of √x +3(plus 3 not included in the √)