SOLUTION: If f(x)=1/√x and g(x)=x^2-10x+25, demonstrate how to find the composition. Be sure to simplify. (g o f)(x)and list its domain in interval notation.

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Question 1200832: If f(x)=1/√x and g(x)=x^2-10x+25, demonstrate how to find the composition. Be sure to simplify.
(g o f)(x)and list its domain in interval notation.

Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.

    (g o f)(x) =  -  + .


It can be further presented in this equivalent simplified form


    (g o f)(x) = .


The domain is  { x | x > 0 }, the set of all positive real numbers.

Solved.



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