for first, f(1)=2....hit and trial
Find for the function and real number .
I'm having trouble with these. I've got a test on monday and I'm freaking out. The biggest problem that I'm having is finding the number that corresponds to a. I can't sub for because the function can't be solved easily in most cases, and I can't determine the inverse function by switching variables and solving for y. What do I do?
here is how it would be computed. we wish to find , so call this value (this is a suggestive name). so we have that
by taking of both sides, we obtain the equation
and so we see, we are looking for a value that when we plug it into our function, the result is . this is what the inverse function dos after all, gives you the original input that gave you the current output, namely .
so for example, to deal with your first problem, we would find by solving the equation
, that is
now this is not that hard to solve, however, it takes a lot less time and effort to just eye-ball the solution at the beginning as malaygoel did