\( ( f \circ g ) - 3 ( 4 x - 1 ) ^ { 2 } + 5 \)

Did you know that the composition of functions, like \( f \circ g \), can reveal fascinating relationships between different mathematical expressions? When you’re composing functions, you’re essentially inserting one function into another. Picture it like an exciting roller coaster where the output of one ride becomes the entrance for the next! Another cool aspect lies in the manipulation of algebraic expressions. In your equation, the term \( (4x - 1)^2 \) can be expanded using the binomial theorem! This opens up possibilities for factoring or further simplifications, making even complex-looking problems approachable and enjoyable to solve. Keep exploring those hidden patterns!