,

Set up the composite result function.

Evaluate by substituting in the value of into .

Add and .

Add and .

Pull terms out from under the radical, assuming positive real numbers.

Find f(g(x)) f(x) = square root of x+5 , g(x)=x^2-5

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# Find f(g(x)) f(x) = square root of x+5 , g(x)=x^2-5

,

Set up the composite result function.

Evaluate by substituting in the value of into .

Add and .

Add and .

Pull terms out from under the radical, assuming positive real numbers.

Find f(g(x)) f(x) = square root of x+5 , g(x)=x^2-5