Tube lessons

1)

Let f:{1,2,3}\(\rightarrow\){1,3,4} and {1,3,4}\(\rightarrow\){1,5} be given by f={(1,3),(2,1),(3,4)} and g={(1,5),(3,1),(4,1)},then gof=

2)

Let the functions f and g are given by f={(1,4),(2,5),(3,7)} and g={(4,2),(5,1),(7,2)} then fog is

3)

If f:R\(\rightarrow\)R and g :R\(\rightarrow\)R are defined by f(x)=\(|x|\) and g(x)=\(|5x-2|\),then fog(x)=

4)

Let gof(x)=|sinx| and fog(x)=\((sin\sqrt{x})^2\) then

5)

Let f(x)=\(\frac{ax}{x+1}\), \( x\neq-1\),then the value of 'a'so that f(f(x))=x is

Mathematics