Consider the function (f(x) = sqrt{x} ) and (g(x) = x^2 ). Find the domain and range of ((f+g)(x)), ((f-g)(x)), ((fg)(x)), and ((f/g)(x)).

Question

Accepted Answer

Step:1 ：For (f+g), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (ygeq 0).Step:2 ：For (f-g), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (yleq 0).Step:3 ：For (fg), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (ygeq 0).Step:4 ：For (f/g), the domain is all (x) such that (xgeq 0) and (xneq 0). The range is (ygeq 0).

Answer

Step: 1 ：For (f+g), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (ygeq 0).Step: 2 ：For (f-g), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (yleq 0).Step: 3 ：For (fg), the domain is all (x) such that (xgeq 0) and (xinmathbb{R}). The range is (ygeq 0).Step: 4 ：For (f/g), the domain is all (x) such that (xgeq 0) and (xneq 0). The range is (ygeq 0).

Consider the function $f (x) = \sqrt{x}$ and $g (x) = x^{2}$ . Find the domain and range of $(f + g) (x)$ , $(f - g) (x)$ , $(f g) (x)$ , and $(f / g) (x)$ .

Answer

Popular Problems

Consider the function f(x)=x and g(x)=x2. Find the domain and range of (f+g)(x), (f−g)(x), (fg)(x), and (f/g)(x).

Answer

Popular Problems

Consider the function $f (x) = \sqrt{x}$ and $g (x) = x^{2}$ . Find the domain and range of $(f + g) (x)$ , $(f - g) (x)$ , $(f g) (x)$ , and $(f / g) (x)$ .