Question

give the answer please

Answer 1

Using the domain concept, the only value of x that is not on the domain of $f(x) = \frac{1}{3x + 5}$ is given as follows:

$x = -\frac{5}{3}$

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function. For a rational function, for example, the zeros of the denominator are excluded from the domain. Another example is an even root, where the inside term has to be positive.

The rational function for this problem is given by the function f(x) presented below:

$f(x) = \frac{1}{3x + 5}$

The denominator is 3x + 5, hence the restriction in the domain of f(x) is given as follows:

3x + 5 = 0

3x = -5

$x = -\frac{5}{3}$

The solution to the equation above is the only value of x that is not part of the domain of f(x).

More can be learned about the domain of a function at https://brainly.com/question/10891721

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