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
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