Respuesta :

Think about this as a table of values where domain is the x values and range is the y values.

f(4) wants the y-value when the x-value is 4

f(4) = 1/2

The second question wants us to find the x-value when f(x) also known as the y-value is 4.

f(x) = 4

x = 8

answers: 1/2, 8

You can use the fact that a function relates one set of values to other set such that each element of first set is related to single element of other set.

The answers are:

  • f(4) is  [tex]\dfrac{1}{2}[/tex]
  • f(x) = 4 when x is 8

What is domain and range of a function?

  • Domain is the set of values for which the given function is defined.
  • Range is the set of all values which the given function can output.

How to get the values at which function gives specific value?

For the given case, see the lines that connect one value from domain to one value of range.

That line is relating an element of domain to an element of range under the definition of f(x)

Remember that when you take one value of domain, that value is value of input, and is written inside those brackets () after f

The value to which the line ends up touching is written after.

Thus,

f(8) = 4

f(-2/3) = 3

and so on.

Thus, we have f(4) = 1/2 as the line goes from 4 to 1/2

Also, we have to find the value of x for which f(x) = 4

Since we see that 4 from range is connected with 8 of domain, thus,

f(8) = 4,

thus, the value of x needed is 8.

Thus,

The answers are:

  • f(4) is  [tex]\dfrac{1}{2}[/tex]
  • f(x) = 4 when x is 8

Learn more about functions here:

https://brainly.com/question/13395697