let f(x)=1x f(x)=1x and g(x)=x2 +5x.g(x)=x2 +5x. find (f⋅g)(x)(f⋅g)(x)

Question

Can someone help me with this I dont know how to do this

Answer 1

Not sure whether you mean (f*g) or (fºg)

Do you really mean f(x)1x? That's just the same as x. So, I assume you mean f(x) = 1/x. Why some people cannot find the vinculum baffles me.

(f*g)(x) = f*g = (1/x)*(x^2+5x) = (x^2+5x)/x = x+5

(fºg)(x) = f(g) = 1/g = 1/(x^2+5x)

Similarly,
(f/g)(x) = f/g = (1/x)/(x^2+5x) = 1/(x^3+5x^2)

And why do you repeats all the math stuff?

Answer 2

sorry. I meant "virgule" :-)