I am having a fair bit of trouble with combinations of functions.
First, I'd just like confirmation on whether or not I done a more basic question correctly.
1.) If ,and determine the following:
b.)
So
Is this correct?
For the next question I am given the following:
I don't know how I am supposed to use the graph to evaluate each expression here. Also, is the expression for a.) the same thing as ?
Lastly I am asked:
If and , find such that .
I have no idea how to solve this one.
Okay so then since and then ?
I have two more questions that I am stuck on. They are on the assignment but I can't find any examples of them in the text so I don't know how to approach them.
1.) if and , find such that
2.) If and , find x such that
Gah, I still don't really know for either question. I just can't seem to wrap my head around combinations of functions, especially when working backwards through them. For the second question, what I've done so far is:
That doesn't seem to be correct though. What have I done wrong?
Oh of course, I don't know why I didn't think of that. So then:
And inputting that value of x into the equations they are equal. So that is right? Now I'm still fairly confused for the first question and don't know where to begin with it.