Consider `f (x)= sin ^(5) x-1, x in [0, (pi)/(2)],` which of the following is/are correct ?

If f(x)=sin x,x in [-pi//2,pi//2] then which one of the following is not correct ?

A function f is defined by f(x)=x^(x) sin x in [0,pi] . Which of the following is not correct?

Consider f(x) = |1-x |, 1

Consider f(x)=|1-x|,1 le xle2 and g(x)=f(x)+b sin.(pi)/(2)x, 1 le xle 2 then which of the following is correct?

Let f:[-1,1]rarr[-(pi)/(2),(pi)/(2)] is defined as f(x)=sin^(-1)x and g:R rarr[-1,1] is defined as g(x)=sin x. if D_(1) denotes the domain of f(x), then which of the following is correct?

f(x)={x^(2)cos((1)/(x)),x<0 and 0,x=0 and x^(2)sin((1)/(x)),x<0 then which of the following is (are) correct?

if f(x)=|1-x|,1<=x<=2, and g(x)=f(x)+b sin((pi x)/(2)) then which of the following is correct

Consider the function f(x)={{:((sin2x)/(5x),if ,xne0),((2)/(15),if,x=0):} Which one of the following is correct in respect of the function?

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?