Question

F(x)=(x^3+6) inverse

Answer 1

The inverse of this function is f(x) = $\sqrt[3]{x - 6}$

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = x^3 + 6 ----> Switch f(x) and x

x = f(x)^3 + 6 ----> Subtract 6 from both sides

x - 6 = f(x)^3 ----> Take the cube root of both sides

$\sqrt[3]{x - 6}$ = f(x) ----> Switch the order for formatting purposes

f(x) = $\sqrt[3]{x - 6}$

And that would be your new inverse function.