Question

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

Answer 1

Answer:

Final answer is $g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$.

Step-by-step explanation:

given functions are $f(x)=x-6$ and $g\left(x\right)=\frac{1}{2x\left(x+3\right)}$.

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 $g\left(x\right)=\frac{1}{2x\left(x+3\right)}$.

$g\left(x\right)\cdot f\left(x\right)=\frac{1}{2x\left(x+3\right)}\cdot\left(x-6\right)$

$g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$

Hence final answer is $g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$.