If f(x) = `sin x, g(x) = x^2` and `h(x), = logx`, find the composite function[ho(gof)](x).

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

If f(x) = e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x) , then find the value of (g{f(x)})/(h(x))

If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|) and h(x) = f(g(x)), then find the domain of sin^(1-)(h(h(h(h...h(x)...))))/(n "times")

Let the function f : R to R , g : R to R , h : R to R be defined by f(x) = cos x,g(x) = 2x+1 and h(x) = x^(3)-x-6 , Find the mapping h o (go h) , hence find the value of h o (go f), hence find the value of ( h o (go f) ) (x) when x=(pi)/(3) and c=(2pi)/(3).

find fog(x) " and " gof(x). if f(x)=x^2 and g(x)=cosx.

If f:R to R, g:R to R and h : R to R be defined respectively by f(x)=sinx, g(x)=3x-1 and h(x)=x^(2)-4 , then the value of [ho(gof)]((pi)/(2)) is -

If f(x)= sin^(2)x and g(f(x))=|sin x|, then g(x)=

Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) is:

If f(x) = (1−x)^(1/2) and g(x)=ln(x) then the domain of (gof)(x) is

If f(x)=e^(x+a),g(x)=x^(b^2)and h(x)=e^(b^2x), find the value of (g[f(x)])/(h(x)).