Question

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

a. 11/2
b. 27/10
c. 160
d. 270

Answer 1

The correct option is d.

Explanation:

The given functions are

`f(x)=7+4x`

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

Substitute x=5 in each function.

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

`g(5)=(1)/(2(5))=(1)/(10)`

We need to find the value of (f/g)(5).

`((f)/(g))(5)=(f(5))/(g(5))`

Substitute f(5)=27 and
`g(5)=(1)/(10)` in the above equation.

`((f)/(g))(5)=(27)/((1)/(10))`

`((f)/(g))(5)=27* 10=270`

The value of (f/g)(5) is 270. Therefore the correct option is d.

Answer 2

`d. \ \boxed{270}`

Explanation:

In this exercise we need to make a division and evaluate the new function at
`x=5`. so we have two functions, namely:

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

Therefore:

`f(5)=7+4(5)=27 \\ \\ g(5)=(1)/(2* 5)=(1)/(10)`

So:

`(f/g)(5)=(27)/((1)/(10))=270`