Question

If f(x)=x+4/x, g(x)=x-2 and h(x)=4x-1 what is f(h(g(x)))?

Answer 1

hello : f(h(g(x)))= (4x - 9) + 4 /(4x - 9)

Explanation:

calculate : h(g(x))

h(g(x)) = h(x - 2) = 4 (x -2) -1 = 4x - 8 -1

h(g(x)) = 4x - 9

calculate : f(h(g(x)))

f(h(g(x))) = f (4x - 9) = (4x - 9) + 4 /(4x - 9)

Answer 2

f(h(g(x))) = (4x-9)+4/(4x-9)

Explanation:

We have given three functions and we have to find their compositions.

f(x) = x+4/x , g(x) = x-2 and h(x) = 4x-1

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

Firstly , we have to find h(g(x)).

h(g(x)) = h(x-2)

h(g(x)) = 4(x-2)-1

h(g(x)) = 4x-8-1

h(g(x)) = 4x-9

now find f(h(g(x)))

f(h(g(x))) = f(4x-9)

f(h(g(x))) = (4x-9)+4/(4x-9) which is the answer.