Question

Let f(x)=3x+5 and g(x)=x2. find g(x)/f(x) and state it’s domain

Answer 1

g(x)/f(x) = (x^2)/(3x + 5)

Since we have a denominator, it cannot equal zero. Thus

3x + 5 ≠ 0

      3x ≠ -5

        x ≠ -5/3

Therefore the required domain is  x  can be an real number except  -5/3

Answer 2

Answer:

The domain of the function is $D=[x|x\neq-\frac{5}{3}]$

Step-by-step explanation:  

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

To find : $\frac{g(x)}{f(x)}$ and state it's domain?

Solution :

The required function is $\frac{x^2}{3x+5}$

Now, The domain is defined as the set of values of possible value that make function work.

The function to be defined when denominator cannot be zero.

So, $3x+5\neq0$

i.e. $x\neq -\frac{5}{3}$

Therefore, The domain of the function is $D=[x|x\neq-\frac{5}{3}]$