If `f(x)` is a real-valued function defined as `f(x)=In (1-sinx),` then the graph of `f(x)` is (A) symmetric about the line `x =pi` (B) symmetric about the y-axis (C) symmetric and the line ` x=(pi)/(2)` (D) symmetric about the origin

If the graph of the function f(x) is symmetrical about x = 20 then

Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

It the graph of the function y=f (x) is symmetrical about the line x=2, then which of the following is correct ?

Let f:R to R be a function satisfying f(2-x)=f(2+x) and f(20-x)=f(x) AA x in R. For this function f , answer the following. The graph of y= f(x) is not symmetrial about (a) symmetrical about x=2 (b) symmetrical about x=10 (c) symmetrical about x=8 (d) None of these

Show that the function f(x)=(2x(sinx+tanx))/(2[(x+21pi)/pi]-41) is symmetric about origin.

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

Find the equation of the parabola which is symmetric about y-axis, and passes through the point (2,-3) .

Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 sinx-cosx+2 . Then f^-1(x) is given by

Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Then the value of f(21) is a). 16 b). 21 c). 64 d). 105

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)