" Q."1" If "f(x)=sin^(-1){3-(x-6)^(4)}^(13)" then "f^(-1)(x)=

If f(x)=Sin^(-1){3-(x-6)^(4)}^(1//3) then f^(-1)(x)=

If f(x)=sin^(-1){3-(x-6)^(4)}^((1)/(3)) then f^(-1)x=

If F(x)=sin^-1{3-(x-6)^4}^(1/3) then F^-1(x)=

If f(x)=sin^(-1)[2^(x+1)/(1+4^(x))]," then "f^(1)(0)=

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))

If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

If f(x)=(x-1)(2x-3), x in [1,3] , then

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)