SOLUTION: let g(x) = 1/x^2 and h(x)= 1/((sqrt x )- 1) please determine the the following function h(g(x))

Question 316056: let g(x) = 1/x^2 and h(x)= 1/((sqrt x )- 1)
please determine the the following function
h(g(x))

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second function.

Plug in

Break up the square root.

Take the square root of 1 to get 1.

Take the square root of to get 'x' (this is assuming that 'x' is non-negative)

Rewrite the second '1' as

Combine the lower fractions.

Take the reciprocal of the lower fraction.

So the composite function is
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