Question

how do i solve this problem:
(g * f)(x) = g(f(x))
the multiplication symbol(*) is an open circle
g(x)=3x+1
f(x)= x/2

Answer 1

(g o f)(x) is simple enough to read and then you dont need to "define" what the operation is spose to be

Answer 2

place f(x) into g(x) at every place that you see an x

Answer 3

is the answer 3(x/2)+1

Answer 4

g(x)=3x+1

g(f(x)) = 3(f(x)) + 1

and restate f(x) with its rule; f(x) = x/2, therefore

g(f(x)) = g(x/2) = 3(x/2) + 1

Answer 5

you might need to "simplify" it further, but im never that good with knowing how simplified a simplified form is spose to go