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

Question

UpStudy AI · Accepted Answer

**Step 1.** Set $$ f(x) $$ equal to 50:

$$
2x^3 - 4 = 50
$$

**Step 2.** Add 4 to both sides:

$$
2x^3 = 54
$$

**Step 3.** Divide both sides by 2:

$$
x^3 = 27
$$

**Step 4.** Take the cube root of both sides:

$$
x = 3
$$

Thus, $$ f^{-1}(50) = 3 $$.
$$ f^{-1}(50) = 3 $$

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