Question

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

Answer 1

Answer:

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

Step-by-step 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:

$\frac{f}{g}(x)=\frac{f(x)}{g(x)}\\=\frac{16x+12}{4x+3}$

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

$\frac{16x+12}{4x+3}\\=\frac{4(4x+3)}{4x+3}$

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

$\frac{4(4x+3)}{4x+3}\\=4$

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