Question

If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

Answer 1

To find (f o g)(x), substitute the expression for g(x) into f(x) and simplify.

Step-by-step explanation:

To find (f o g)(x), we need to substitute the expression for g(x) into f(x).

So, (f o g)(x) = f(g(x)) = f(3x+1).

Substituting f(x) = x-1/3 into f(3x+1), we get (f o g)(x) = (3x+1)-1/3 = 3x+1-1/3 = 9x/3 + 1 - 1/3 = 3x + 2/3.