Question

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

Answer 1

Final answer is
`g\left(x\right)\cdot f\left(x\right)=(\left(x-6\right))/(2x\left(x+3\right))`.

Explanation:

given functions are
`f(x)=x-6` and
`g\left(x\right)=(1)/(2x\left(x+3\right))`.

Now we need to find about what is the value of
`g\left(x\right)*f\left(x\right)`.

`g\left(x\right)*f\left(x\right)` simply means we need to multiply the value of
`f(x)=x-6` and
`g\left(x\right)=(1)/(2x\left(x+3\right))`.

`g\left(x\right)\cdot f\left(x\right)=(1)/(2x\left(x+3\right))\cdot\left(x-6\right)`

`g\left(x\right)\cdot f\left(x\right)=(\left(x-6\right))/(2x\left(x+3\right))`

Hence final answer is
`g\left(x\right)\cdot f\left(x\right)=(\left(x-6\right))/(2x\left(x+3\right))`.