Question

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

Answer 1

Answer:

(f×g)(x) = x +5.

Step-by-step explanation:

Given  : f(x)= $\frac{1}{x}$ and g(x) = x²+5x.

To find : find (f×g)(x).

Solution: We have given f(x)= $\frac{1}{x}$ and g(x) = x²+5x.

For (f×g)(x) = f(x) * g(x) .

Plug the values

(f×g)(x) =  $\frac{1}{x}$ * x²+5x.

(f×g)(x) = $\frac{x^{2}+5x }{x}$

On taking x common from the numerator

(f×g)(x) = $\frac{x(x+5)}{x}$.

(f×g)(x) = x +5.

Therefore, (f×g)(x) = x +5.

Answer 2

Just multiply
remember the distributive proeprty a(b+c)=ab+ac
(f *g)(x)=f(x)g(x)=(1/x)(x^2+5x)=(x^2/x)+(5x/x)=x+5

(f*g)(x)=x+5