Let f(x) = y.

Solve for x.

Switch the x and y.

Do not forget the ±. What will the graph of the inverse look like? Will there be exactly one output for each input?

To determine if the inverse is a function: Visualize! What does a cube root graph look like?

If f(x) = sin(x)
Then f ⁻¹(x) = arcsin(x) = sin⁻¹(x)
Note: cscx is the reciprocal of sinx, not the inverse!