The graph of f(x)=tanx _______. Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=tanx is _______ so that its inverse function is defined.

Fill in the blank.

- Does not pass the vertical line test.
- Passes the horizontal line test.
- Is not one to one

- (-π/2, π/2)
- (0,π/2)
- (0,π)
- [-π/2,π/2]
- [0,π/2]
- [0,π]

Guest Mar 16, 2020

#1**+1 **

Find the two values of x (one positive and one negative, which are closest to zero) for which tan(x) is undefined.

These two values determine the limits on the inverse function and, since tan(x) are undefined at these points, they cannot be contained in the domain of the inverse function.

geno3141 Mar 16, 2020