Find comp
f(x) = 2x + 3
g(x) = x2 – 3x + 1
write g(f(x)) as an expression in terms of x.

g(f(x))= 4x^2 + 6x +1

Step-by-step explanation:

f(x) = 2x + 3

g(x) = x2 – 3x + 1

the composition of functions can be understand as evaluating one function inside the other.

so evaluate g(f(x)) means to change the 'x' variable from g(x) by the whole expression of f(x).

g(f(x))= (2x+3)^2 - 3 (2x+3) + 1  (note that we substitute 'x' variable by the content of f(x), which is 2x+3)

If we develop the square product as well the other products, we have

g(f(x))= 4x^2+12x+9 - 6x-9  + 1

leading to

g(f(x))= 4x^2 + 6x +1

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.