Question

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?

Answer 1

`f(x)=7+4x;\ g(x)=(1)/(2)x\\\\\left((f)/(g)\right)(x)=(f(x))/(g(x))=(7+4x)/((1)/(2)x)=(2(7+4x))/(x)=(14+8x)/(x)\\\\\left((f)/(g)\right)(5)=(f(5))/(g(5))=(14+8\cdot5)/(5)=(14+40)/(5)=(54)/(5)=10.8`

Answer 2

`(54)/(5)`

Explanation:

The meaning of
`\left ( (f)/(g)\right)(5)` is
`(f(5))/(g(5))`. So we must find
`f(5)` and
`g(5)` and then make the quocient.

You have
`f(x)=7+4x` and therfore you have to change x by 5 to obtain
`f(5)`:

`f(5)=7+4(5)=7+20=27`

Do the same for g(5) with
`g(x)=(1)/(2)x`

`g(5)=(1)/(2)(5)=(5)/(2)`

Finally we have

`\left((f)/(g) \right)(5)=(f(5))/(g(5))=(27)/((5)/(2))=(54)/(5)`