Question

F(x)=16x+12 g(x)=4x+3 find(f/g)(x)

Answer 1

`((f)/(g))(x)=4`

Explanation:

(f/g)(x) means to divide f(x) by g(x) and get the expression. We will do this and see if we can simplify the algebraic ratio. Shown below is the process:

`(f)/(g)(x)=(f(x))/(g(x))\\=(16x+12)/(4x+3)`

We can take 4 as common from the numerator, so it becomes:

`(16x+12)/(4x+3)\\=(4(4x+3))/(4x+3)`

"4x+3" gets cancelled out from both denominator and numerator, thus we have:

`(4(4x+3))/(4x+3)\\=4`

4 is the correct expression for (f/g)(x).