Let f(x) = √x and g (x) = x be two functions defined in the domain

1.	Let f(x) = √x and g (x) = x be two functions defined in the domain R+∪ {0}. Find (fg) (x).
Answer» Given: f(x) = √x and g (x) = x two functions defined in the domain R ⁺ ∪{0}, To find: (fg)(x) Explanation: this can be obtained by multiplying functions f(x) and g(x), i.e., ⇒ (fg)(x) = f(x) g(x) Substituting the corresponding equation, we get ⇒ (fg)(x) = (√x)(x) ⇒ (fg)(x) = x√x

Let f(x) = √x and g (x) = x be two functions defined in the domain R+∪ {0}. Find (fg) (x).

Answer»

Given: f(x) = √x and g (x) = x two functions defined in the domain R ⁺ ∪{0},

To find: (fg)(x)

Explanation: this can be obtained by multiplying functions f(x) and g(x), i.e.,

⇒ (fg)(x) = f(x) g(x)

Substituting the corresponding equation, we get

⇒ (fg)(x) = (√x)(x)

⇒ (fg)(x) = x√x