Question

Let `f(x)=1-x` and `g(x)= x^2` and `h(x)= 1/x`, how do you find g(f(h(x)))?

Answer 1

`g(f(h(x)))=(1-1/x)^2`

Explanation:

`"we can break this composition into parts"`

`"evaluate "(f(h(x))" to begin with"`

`rArrf(h(x))=f(1/x)=1-1/x`

`rArrg(f(h(x)))`

`=g(1-1/x)=(1-1/x)^2=1-2/x+1/x^2`