Tube lessons

1)

Let f,g,h:R\(\rightarrow\)R are defined by f(x)=|x|,g(x)=|2x-3| and h(x)=\(x^2\),then ((hog)f)(x)=

2)

Let f,g,h:R\(\rightarrow\)R are given by f(x)=3x,g(x)=2x-1 and \(h(x)=x^2\) then ((f+g)h)(x)=

3)

Let f,g,h are real functions given by f(x)=sinx,g(x)= 2x and h(x)=cosx then fog(x)=

4)

Let \(f(x)=(2-y^n)^{\frac{1}{n}}\),for all natural number n,then f(f(y))=

5)

The value of 'a' for which the function \(f(x)=1+ax,a \neq 0 \) is the inverse of itself is

Mathematics