Question

Domain of f(x)=(x+7)³-2​

Answer 1

Domain is all real numbers.

Explanation:

Given:

The function is given as:

`f(x)=(x+7)^3-2`

A function is like a machine which gives an output for a given output.

The input to a function is called its domain. The domain is the set of all possible values for which the function is defined. The domain is represented by the independent variable 'x'.

The output of the function is the function value for the given 'x'. It is represented by 'y' or 'f(x)'.

So, the domain must include only those values which give a definite value for
`f(x)`.

Here, the given function is a cubic function. A cubic function is one which has the highest power of 'x' as 3. A cubic function is defined for all real values of 'x'.

Therefore, the domain of the given function is all real values.