Question

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

Answer 1

If im not mistaken the answer is D 270

Answer 2

`\bigg(\displaystyle(f)/(g)\bigg)(5) = 270`

Explanation:

We are given the following information in the question:

`f(x) = 7 +4x\\\\g(x) = \displaystyle(1)/(2x)`

We have to find the values of
`\displaystyle(f)/(g)(x)`

`\bigg(\displaystyle(f)/(g)\bigg)(x) = (f(x))/(g(x)) = (7 + 4x)/((1)/(2x)) = 2x(7+4x)`

Putting x = 5, we have:

`\bigg(\displaystyle(f)/(g)\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle(f)/(g)\bigg)(5) = 2(5)(7+20)=270`

270 is the required value of
`\bigg(\displaystyle(f)/(g)\bigg)(5)`.