Simplify the following expressions. -1 (a) tan(sin x) (b) sin(tan-x) (c) cos(2 tanx) Let g(x) =...

 

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Simplify the following expressions. -1 (a) tan(sin x) (b) sin(tan-x) (c) cos(2 tanx) Let g(x) = ln(x + x + 1). (a) Find the domain of g. (b) Show that the function g(x) = ln(x + x + 1) is an odd function. (c) Can you justify that the function is one-to-one? (d) Find the inverse function of g. Simplify the following expressions. -1 (a) tan(sin x) (b) sin(tan-x) (c) cos(2 tanx) Let g(x) = ln(x + x + 1). (a) Find the domain of g. (b) Show that the function g(x) = ln(x + x + 1) is an odd function. (c) Can you justify that the function is one-to-one? (d) Find the inverse function of g.