The following problems are the only problems from my homework that i couldn't not solve or rather figure out. If i could by any chance receive any help to that would be great. -please if you help me solve these show me the steps so i at least know how to do it... thank you.
1)Find an expression for the function whose graph consists of the line segment from the point (-2,2) to the point (-1,0) together with the top half of the circle with center the origin and radius 1.
F(x)= -2x-2 if -2 < x < -1
root(1-x^2) if -1< x <1
2) if f(x) = ln x and g(x) = x^2-9 find the functions of a, b ,c ,d and their domains
a)(f o g) ln(x^2-9)
b)(g o f) (ln x)^2 -9
c) (f o f) ln(ln(x))
d) (g o g) (x^2-9)^2 -9 = x^4-18x^2 +72
3) if f(x) = 2x+ ln(x) find inverse of f(2)
the answer is 1 but how?
4) Solve each equation for x.
a) e^x = 5 x = 5th root of e? am i right?
b) ln(x) = 2
c)e^e^x = 2 x = ln(ln(2))
5) sketch the graph of the function g(x) = |x^2-1| - |x^2=4|
Any help with any of the above problems would be greatly appreciated it. Those are some of the few problems that i seem to be having a hard time. I also showed some of the work that i did in regular font(no bold).