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

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

$f \left(g \left(x\right)\right) = \left({x}^{2} - 2\right) + 6 = {x}^{2} + 4$