Which of the following functions is the inverse of itself? (a) `f(x)=(1-x)/(1+x)` (b) `f(x)=5^(logx)` (c) `f(x)=2^(x(x-1))` (d) None of these

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

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

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

For which of the following functions f(0) exists such that f(x) is continuous at f(x)=1/((log)_e|x|) b. f(x)=1/((log)_"e"|x|) c. f(x)=x sinpi/x d. f(x)=1/(1+2^(cot x))