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

The domain of the function is
`D=[x|x\\eq-(5)/(3)]`

Step-by-step explanation:

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

To find :
`(g(x))/(f(x))` and state it's domain?

Solution :

The required function is
`(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\\eq0`

i.e.
`x\\eq -(5)/(3)`

Therefore, The domain of the function is
`D=[x|x\\eq-(5)/(3)]`