The domain of the function f(x)=4/(4x+16) is all real numbers except for when x equals___

-4

Step-by-step explanation:

f(x)= 4/4x+16

reduce denominator to find the vertical asymptote

4/4(x+4)

Now what makes x equal to zero?

x+4=0

x=-4

So if I were to plug in -4 it'd give me 0

As you can see in the graph the function will never approach x at -4

Also although not asked this function is just 4/4(x+4)

since u cancel the 4s

1/x+4

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!