Respuesta :

Answer:

f(x) = (-x + 3)^-1

g(x) = x^-1

h(x) = (-x + 3)

Step-by-step explanation:

We know that:

g(x) ≠ x

h(x) ≠ x

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

f(x) = (-x + 3)^(-1) = g(h(x))

Then we can define:

h(x) as the thing inside the first parenthesis:

h(x) = (-x + 3)

And g(x) as the function that is evaluated in this, then:

g(x) = x^-1

So when we have:

g(h(x)) = (h(x))^-1 = ( (-x + 3) )^-1 = (-x + 3)^-1

Then we have:

f(x) = (-x + 3)^-1

g(x) = x^-1

h(x) = (-x + 3)

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