Question

Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:

f(x) = 2x − 20

g(x) = x − 1

a. -5
b. 5
c. 1/6
d. 30

Answer 1

Plug -5 into both of them and divide:


`\sf(2x-20)/(x-1)`


`\sf(2(-5)-20)/(-5-1)`

Simplify:


`\sf(-10-20)/(-6)`


`\sf(-30)/(-6)`


`\boxed{\sf 5}`

Answer 2

Option b is correct.

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

Explanation:

Given the functions:

`f(x)=2x-20`

`g(x)=x-1`

Solve:
`((f)/(g))(-5)`

`((f)/(g))(x) = (f(x))/(g(x))`

Substitute the given function we have;

`((f)/(g))(x) = (2x-20)/(x-1)`

Put x = -5 we have;

`((f)/(g))(-5) = (2(-5)-20)/(-5-1) =(-10-20)/(-6)=(-30)/(-6) = 5`

therefore, the value of
`((f)/(g))(-5)` is 5.