Question

If f(x)= x-6 and g(x)=x^1/2(x+3), find g(x)xf(x)

Answer 1

`f(x)= x-6\\g(x) = x^(1)/(2) (x+3)\\\left(x-6\right)\left(x^{(1)/(2)}\left(x+3\right)\right):\quad x^{(5)/(2)}-3x^{(3)/(2)}-18x^{(1)/(2)}\\x^2√(x)-3x√(x)-18x^{(1)/(2)}\\`

Factor and you get

`x^(1)/(2) (x-6)(x+3)`

Hope this helps!!!