Let f(x)=1/x and g(x)=x^2+5x find (f×g)(x)

(f×g)(x) = x +5.

Step-by-step explanation:

Given  : f(x)= and g(x) = x²+5x.

To find : find (f×g)(x).

Solution: We have given f(x)= and g(x) = x²+5x.

For (f×g)(x) = f(x) * g(x) .

Plug the values

(f×g)(x) =   * x²+5x.

(f×g)(x) =

On taking x common from the numerator

(f×g)(x) = .

(f×g)(x) = x +5.

Therefore, (f×g)(x) = x +5.