If fxx47 gxx1 and hxx fxx47 gxx1and hxx then fghxfghxSolutio

If f(x)=x4+7,

g(x)=x1 and h(x)=x

f(x)=x4+7, g(x)=x-1and h(x)=x, then

f(g(h(x)))f(g(h(x)))=

If f(x)=x4+7,

g(x)=x1 and h(x)=x

f(g(h(x))): olug x= h(x) in g(x)

find g(h(x)) = sqrtx -1

Now plug x = g(h(x)) in f(x)

now find f(g(h(x))) = (sqrt(x) -1)^4 + 7

= (x +1 -2sqrtx)^2 +7

= x^2 + 4x +1 +2x - 4sqrtx -4xsqrtx +7

= x^2 + 6x - 4sqrtx -4xsqrtx + 8