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3-179.
  1. Find the inverse of each of the following functions. Assuming that no domains are restricted, which of the following has an inverse function? How do you know? Homework Help ✎

    1. f(x) = −10x + 8

    2. g(x) = (x + 4)2

    3. f(x) = x3 + 2

    4. h(x) = 3 sin x

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!