http://www.ck12.org Chapter 6. Transcendental Functions
- f(x) =x− 31
In problems #4 - 6, use the horizontal line test to verify whether the following functions have inverse.
4.h(x) =^4 − 6 x
5.g(x) =|x+ 4 |−|x− 4 |- f(x) =− 2 x
√
16 −x^2In problems #7 - 8, use the functionsf(x) =x+4 andg(x) = 2 x−5 to find the specified functions.
7.g−^1 ◦f−^1
8.(f◦g)−^1In problems #9 - 10, show thatfis monotonic (invertable) on the given interval (and therefore has an inverse.)
- f(x) = (x− 5 )^2 ,[ 5 ,∞)
- f(x) =cosx,[ 0 ,π 2 ]