Mathematics: What is the domain of f(x) = 5x – 7?

The answer to this question is x= 6.6, de= 16.2...

What is the domain of f(x) = 5x – 7? - id574626172, perezsamantha3oqr0za

katelynzaro

15.01.2022

The domain of the function $f\left( x \right) = 5x - 7$ is all the real numbers.

Further explanation:

Domain is a set of all the possible values of the function. The value at which the function is defined is known as domain.

Range is a set of values that the function takes.

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

Explanation:

The given function is $f\left( x \right) = 5x - 7$ .

Consider the value of x less than zero.

Substitute -1 for x to check whether the function is defined.

$\begin{aligned}f\left({ - 1}\right)&= 5\left({ - 1}\right)- 7\\&= - 5 - 7\\&= - 12\\\end{aligned}$

Consider the value of x greater than zero.

Substitute 1 for x to check whether the function is defined.

$\begin{aligned}f\left( 1 \right)&= 5\left( 1 \right)- 7\\&=5 - 7\\&= - 2\\\end{aligned}$

The function $f\left( x \right) = 5x - 7$ is defined for all the value of x.

The input values are all the real numbers.

Hence, the domain of the function $f\left( x \right) = 5x - 7$ is all the real numbers.

Learn more:

1. Learn more about inverse of the function .

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Functions

Keywords: range, domain, codomain, relation, function, graph, coordinates, close interval, open interval, values.

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