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  ` `

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Posted on

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

                      ={x^2+2x+1}+2

                       =x^2+2x+3.

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