What is the domain and range for the following function and its inverse? f(x) = -x + 5

Domain:

Inverse:

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

Step-by-step explanation:

Domain is the set of x value and range is the set of y value. There is no restriction for x  and y in a linear function.

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

Now find the inverse

Replace f(x) with y

Replace x with y and y with x

Subtract 5 from both sides

Divide both sides by -1

Replace y by f^-1

46.2+112.3

step-by-step explanation: