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

Question

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

Philoid · Accepted 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 and g (x) = x be two functions defined in the domain R⁺∪ {0}. Find
(fg) (x)