Algebra
# Functions

If \( a \oplus b = \left( a+b \right) ^{ 2 } \) , what is the value of \( 3\oplus 1\)?

Consider a function \(f\) satisfying \(f(x) = | x^{3} - 7x |\). What is the value of \(f(3) \)?

If \(f\) is a function such that \( f(f(x)) = x^2 - 1 \), what is the value of \( f(f(f(f(3)))) \)?

Consider a function \(f\) satisfying

\[f\big(\sqrt{x}\big)=x^2.\]

What is the value of \(f(2) ? \)

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