Question

Given f(x) = x² - 10x + 22, what is the domain of f?

Answer 1

The domain of f in interval notation is (-∞,∞)

Explanation:

The domain of a function refers to the set of x-values for which the function is defined and is real as well. Given that this is a quadratic function and not a rational function, then the function lacks points of discontinuity. The function is continuous everywhere. In short, the function has no undefined points nor domain constraints

Answer 2

The domain for given function is
`\:\left(-\infty \:,\:\infty \:\right)`

Explanation:

Given :
`f\left(x\right)\:=x^2-10x+22`

We have to find the domain of the given function.

Domain of a function is defined as a set of value for which the value of function is real and defined.

Consider the given function
`f\left(x\right)\:=x^2-10x+22`

Since there is no points for x where the function f(x) is non defined.

Hence, whole number line is the domain for the given function.

`\text{Domain} :-\infty \:<x<\infty`

In interval form it is written as
`\:\left(-\infty \:,\:\infty \:\right)`

Thus, the domain for given function is
`\:\left(-\infty \:,\:\infty \:\right)`