If `f(x)=|x|+|x-1|`, then which one of the following is correct?

If f:R rarr R be defined as f(x)=sin(|x|) then which one of the following is correct?

If f(x)=|x|+|x-1|+|x-2| then which one of the following is not correct? (A) f(x) has a minimum at x=1 (B) f(x) has a minimum at x=0 (C) f(x) has neither a maximum nor a minimum at x=0 (D) f(x) has neither a maximum nor a minimum at x=2

If f(x) = e^(absx) , then which one of the following is correct ?

f(x) = |x|+|x-1| +|x-2| , then which one of the following is not correct ?

If g(x)=(1)/(f(x))andf(x)=x,xne0 , then which one of the following is correct

If p(x) is a common multiple of degree 6 of the polynomials f(x) = x^(3)+x^(2)-x-1 and g(x)=x^(3)-x^(2)+x-1 then which one of the following is correct ?

If f(x)=(x)/(x^(2)-1), then which of the following is/are correct-

If f(x)=ax+bandg(x)=cx+d such that f[g(x)]=g[f(x)] then which one of the following is correct?