If `f(x)=[x], g(x)=x-[x]` then which of the following functions is zero function

If f(x)=2x and g(x)=(x^(2))/(2)+1 then which of the following can be discontinuous function

Let f\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f+g

Let f\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f-g

Let f\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f/g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f+g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f-g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f/g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: fg

Consider the function f(x)=e^(x) and g(x)=sin^(-1)x, then which of the following is/are necessarily true.