Question

Can someone please tell me how to do this? I'm so lost!!

given f(x)=√3x-4

express it as a composition of two functions, f and g: f(g(x)).

-find g(x) by identifying the function you're taking the square root of.
-Find f(x) by identifying what you are doing to the function above. What function is f(x)?
-Verify that f(g(x))=f(x) & f(g(x))=√3x-4

Answer 1

g(x) would be = 3x-4
f(x)= x^(-2) that is root x

so f(g(x)) wil be = (3x-4)^(-2) that is root of 3x-4
which gives you your answer!!

Answer 2

f(g(x)) is not equvalent to f(x)
for x=1 f(g(x)) will not be defined whereas f(x) will attain the value 1