Question

Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above

Answer 1

Answer:

E) None of the above

Step-by-step explanation:

Given $f(x)=\sqrt{x}$ and $g(x)=x+2$, then $f(g(x))=\sqrt{x+2}$. This shifts the graph of the parent function $f(x)=\sqrt{x}$ 2 units to the left. Thus, the domain of the function is $[-2,\infty)$, making none of the above true.