Look at the function f(x) = −x + 5. which of the following describes the domain and range of the function and its inverse?

The inverse is g(x)=-x+5.

Both f and g have domain and range all real numbers.

In interval notation that is

Step-by-step explanation:

f(x)=-x+5 is a linear function.

Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.

For any linear function, the domain will be all real numbers.  

So to find the inverse of y=-x+5, you interchange x and y and resolve for y.

y=-x+5

(interchange)

x=-y+5

(solve for y)

Subtract 5 on both sides:

x-5=-y

Multiplying both sides by -1:

-x+5=y

So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped.  The sets were the same here because they were both all real numbers.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

true

step-by-step explanation: