F(x)= x² - 2x+3 and g(x) = 2x+1 find the following
f(g(x))
Help please

f(g(x)) = 4x² + 2

General Formulas and Concepts:

Algebra I

Compositions of FunctionsFunction NotationsExpanding by FOIL-ingCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x = 3

g(x) = 2x + 1

Step 2: Find f(g(x))

Substitute in g(x) into f(x):                    f(g(x)) = (2x + 1)² - 2(2x + 1) + 3Expand:                                                 f(g(x)) = 4x² + 4x + 1 - 2(2x + 1) + 3Distribute -2:                                         f(g(x)) = 4x² + 4x + 1 - 4x - 2 + 3Combine like terms (x):                        f(g(x)) = 4x² + 1 - 2 + 3Combine like terms (Z):                        f(g(x)) = 4x² + 2