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Home > CALC > Chapter 3 > Lesson 3.4.3 > Problem 3-179


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!