SOLUTION: composite function(FoG)(x)= F(x)=x^2-2x+1 G(x)= sqrt x-2 I know you plug in f to g but where and how do you do it with multiplying by sqrt I am thinking it

Algebra ->  Rational-functions -> SOLUTION: composite function(FoG)(x)= F(x)=x^2-2x+1 G(x)= sqrt x-2 I know you plug in f to g but where and how do you do it with multiplying by sqrt I am thinking it      Log On


   

Question 162319: composite function(FoG)(x)= F(x)=x^2-2x+1 G(x)= sqrt x-2
I know you plug in f to g but where and how do you do it with multiplying by sqrt
I am thinking it's something like X^2-2x(sqrt x-2)+1 am i right and how does that work out??? thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you substitute g(x) for x in f(x).
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f%28x%29=x%5E2-2x%2B1
g%28x%29=sqrt%28x-2%29
g%5E2%28x%29=%28x-2%29
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f%28g%28x%29%29=g%5E2-2g%2B1
f%28g%28x%29%29=%28x-2%29-2%2Asqrt%28x-2%29%2B1
f%28g%28x%29%29=x-2%2Asqrt%28x-2%29-1
As you see you just multiply by the square root and leave it as is.