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.

Algebra ->  Polynomials-and-rational-expressions -> 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.      Log On


   

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(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.

    (g o f)(x) = %281%2Fsqrt%28x%29%29%5E2 - 10%2Fsqrt%28x%29 + 25.


It can be further presented in this equivalent simplified form


    (g o f)(x) = %281%2Fsqrt%28x%29+-5%29%5E2.


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

Solved.