Question

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

Answer 1

`(f/g)(x) = (f(x))/(g(x))`

⇒ `(f/g)(x) = sqrt(x)/x`

Multiplying and dividing by `sqrt(x)`

We get

= `sqrt(x)/x xx sqrt(x)/sqrt(x)`

= `x/(xsqrt(x))`

⇒ `(f/g)(x) = 1/sqrt(x)`