Let `f,\ g,\ h` be real functions given by `f(x)=sinx` , `g(x)=2x` and `h(x)=cosx` . Prove that `fog=go(fh)dot`

If f(x)=sinx, g(x)=x^2 and h(x)=log x, find h[g{f(x)}].

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

Let f and g be real functions defined by f(x)=x/(x+1) a n d g(x)=1/(x+3)dot Describe the functions gof and fog (if they exist).

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: g-f

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f\ g

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: g/f

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f+g