# Question #f8bc2

##### 1 Answer

#### Explanation:

There's a way to rewrite

First, as a small aside, let's say we just have the secant function

The inverse,

Now let's actually set

Just a little algebra and we've solved for

So, really what we've just demonstrated is that the inverse of *arc secant* of

How does this help us? Well, for one thing, we can rewrite our little function in terms of

Take a look:

We already know that the inverse cosine function

Multiply through by

Let's split this into two different inequalities so it's a little easier to figure out:

Now, multiply the first one through by

And square both sides of each inequality:

We've reduced our condition to one inequality now, and the discontinuity should be pretty obvious at this point. The function is only defined for