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

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

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

2)

a) (f/g)(x)=

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

b)

$(\frac{g}{f})(x)=\frac{4x-5}{6x-4}$

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

Hence, this is the answer.