# Answer to Question #42366 in Calculus for shasha

Question #42366

f(x) = x2 + 3; g(x)= square root x-2

Find f(g(x)).

Help me solve this please

Find f(g(x)).

Help me solve this please

Expert's answer

Let g(x)=sqrt(x-2)=y. (1)

We need to find f(y). So, we substitute (1) in f(y)=y^2+3:

f(g(x))=(sqrt(x-2))^2+3=x-2+3=x+1.

We need to find f(y). So, we substitute (1) in f(y)=y^2+3:

f(g(x))=(sqrt(x-2))^2+3=x-2+3=x+1.

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