Functions: Level 1 Challenges Practice Problems Online

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 $f(2) ?$

If $f\left( x \right) =ax+b$ , where $a$ and $b$ are real numbers, and $f\left( f\left( f\left( x \right) \right) \right) =8x+21$ , what is $a+b$ ?

Functions: Level 1 Challenges