What is g[f(x)] of f(x)= and g(x)= `x^2 + 2` ? I am at the step of multiplying the square roots and am not sure how to finish it from there.  g( ) = (  ) () + 2  ` `

Expert Answers
rakesh05 eNotes educator| Certified Educator

Given g(x)=x^2+2. But the expresion for f(x) is not given.

Now     g[f(x)]={(f(x))^2}+2.

Now suppose that f(x)=(x+1).

Then    g[f(x)]={(x+1)^2}+2



oldnick | Student

`f(x)= (x^2+2)^2+2=x^4+4x^2+4+2=x^4+4x^2+6`