Question

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

Answer 1

`\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}`

Explanation:

`f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12`