If $f (x) = x + 6$ $f(x) = x + 6$ ; $g(x) = x^2 – 2$ , then what is $f(g(x))$ ?

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Answer 1 · 2016-06-08T17:39:02

Hence the domain of both $f,g$ is the set of real numbers , their composition is well defined hence

$f(g(x))=(x^2-2)+6=x^2+4$

If f(x) = x + 6f(x)=x+6f(x) = x + 6; g(x) = x^2 – 2g(x) = x^2 – 2, then what is f(g(x))f(g(x))?