The function f is given as \( \mathrm{f}(\mathrm{x})=2 x^{3}-4 \). Find \( f^{-1}(50) \) \( \}\} \)

To find \( f^{-1}(50) \), we need to solve the equation \( f(x) = 50 \). Start by setting up the equation: \[ 2x^3 - 4 = 50 \] Now, add 4 to both sides: \[ 2x^3 = 54 \] Next, divide by 2: \[ x^3 = 27 \] Taking the cube root of both sides gives: \[ x = 3 \] Therefore, \( f^{-1}(50) = 3 \).