Express the following function, f (x), as a composition of two functions, f and g: f(g(x)).

F(x)=√3x-4

a) find g(x) by identifying the function you are taking the square root of.

b) Find f(x) by identifying what you are doing to the function you found in part a. What function is f(x)?

c) Verify that f(g(x))=F(x) & f(g(x))=√3x-4.

Question

Express the following function, f (x), as a composition of two functions, f and g: f(g(x)).

F(x)=√3x-4

a) find g(x) by identifying the function you are taking the square root of.

b) Find f(x) by identifying what you are doing to the function you found in part a. What function is f(x)?

c) Verify that f(g(x))=F(x) & f(g(x))=√3x-4.

zzr0ck3r · Answer

hint: you have F(x) = f(g(x)) = sqrt(g(x))