Question

Let f(x) = 6x - 4 and g(x) = 4x - 5. Write a formula for each of the following functions.a. (f/g)(x)= b. (g/f)(x)=

Answer 1

`\begin{gathered} a)\:((f)/(g))(x)=(6x-4)/(4x-5) \\ \\ b)\:((g)/(f))(x)=(4x-5)/(6x-4) \end{gathered}`

1) Let's find these quotients by dividing each function by the other one.

2)

a) (f/g)(x)=

`\begin{gathered} a)((f)/(g))(x)=(f(x))/(g(x))=(6x-4)/(4x-5) \\ \\ \end{gathered}`

b)

`((g)/(f))(x)=(4x-5)/(6x-4)`

Since these are functions, we can let them this way.

Hence, this is the answer.