Question

Given: f(x) = x + 2 and g(x) = 3x + 5 f (x)/g (x) =

Answer 1

For this case we have two functions of the form y = f (x). We must find the quotient of the following functions:

$f (x) = x + 2\\g (x) = 3x + 5$

So, we have by definition:

$\frac {f (x)} {g (x)} = \frac {x + 2} {3x + 5}$

Answer:

$\frac {f (x)} {g (x)} = \frac {x + 2} {3x + 5}$

with 3x + 5 different from zero, so that the function is defined

Answer 2

Answer:

$\frac{f(x)}{g(x)}=\frac{x+2}{3x+5}$

where $x\ne -\frac{5}{3}$

Step-by-step explanation:

The given functions are:

f(x) = x + 2 and g(x) = 3x + 5

$\frac{f(x)}{g(x)}=\frac{x+2}{3x+5}$

Since this is a rational function, the function will not be defined where denominator equals zero.

We need to restrict the function or define the domain.

This is a rational function defined for $x\ne -\frac{5}{3}$