Question

find the domain of the composite function f of g. f(x)=x^2+9;g(x)=sqrtx-7

please show work

Answer 1

f(g) = g^2+9
domain of f is all reals, so as long as g is real, so is f.

domain of g is all reals >= 7

so domain of f(g) is all reals >= 7