A) F ind the domain and range of the functions? F(x)=arcsinx F(x)=arctanx g(x)=c

Question

A)         Find the domain and range of the functions?

F(x)=arcsinx

F(x)=arctanx

g(x)=cos^-1(x)

B)      Find exact value of following expression?

Cos(arccsc5)

C)      Suppose f(x)= {3cospix    when x>

                                  {a-x^2        when x<1

D)     Suppose limit x approaches 0 f(x)=pi and limit x approaches 0 g(x)=2. Also (0)=5, f(2)=3pi/4

And it is known that f(x) is strictly decreasing continuous function. Find limit of x approaches 0 f(x).3g(x)-2) and lim as x approaches 2 g(sin(f(x))-sin(pi/4)

Explanation / Answer

A. domain : {-1,1} range : {-pi,pi}

domain: R range: R

cos-1(x) domain: {-1,1} range: {-pi,pi}

B.0.98

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