1. Define the functions:
f(x) = x^2
g(x) = 5x - 2
2. The composition f°g means f(g(x)), which is plugging g(x) into f(x).
3. Substitute g(x) into f(x):
f(g(x)) = f(5x - 2)
4. This becomes:
(5x - 2)^2
5. Expand the square:
25x^2 - 20x + 4
Answer:
f(g(x)) = 25x^2 - 20x + 4