Question

If f(x)=3-2x and g(x)= 1/x+5, What is the value of (f/g)(8)

Answer 1

`\large\boxed{\left((f)/(g)\right)(8)=-169}`

Explanation:

`\left((f)/(g)\right)(x)=(f(x))/(g(x))\\\\f(x)=3-2x,\ g(x)=(1)/(x+5)\\\\\text{Substitute:}\\\\\left((f)/(g)\right)(x)=(3-2x)/((1)/(x+5))=(3-2x)\left((x+5)/(1)\right)=(3-2x)(x+5)\\\\\left((f)/(g)\right)(8)\to\text{put x = 8 to the equation of a function}\ \left((f)/(g)\right)(x):\\\\\left((f)/(g)\right)(8)=(3-2\cdot8)(8+5)=(3-16)(13)=(-13)(13)=-169`