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nika2105 [10]
3 years ago
8

What is the domain of the ordered pairs shown in the graph?

Mathematics
2 answers:
faltersainse [42]3 years ago
7 0
The Domain is any number that is the X value while Range is any number in Y value

In this case the domain is the first numbers in the ordered pairs-
(-3 , 2)
(0, -1)
(1, -2)
(5, 1)

Therefore the answer is A {–3, 0, 1, 5} Because all these numbers are in the X place
professor190 [17]3 years ago
6 0

Answer:

{-3, 0, 1, 5}.

Step-by-step explanation:

The domain of a set of ordered pairs will be the x values of the ordered pairs in the set. So, in the graph we have the following ordered pairs:

(-3, 2), (0, -1), (1, -2), (5, 1).

Then, the domain will be the set of the x values (the first components in the ordered pairs), that is {-3, 0, 1, 5}. So, the answer is the first option.

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What’s the inverse of the function f(x) = 2x - 10
erastovalidia [21]
The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
____________________________________________________

Explanation:

____________________________________________________

Given the function:  " f(x) = 2x <span>− 10 " ;  Find the "inverse function" .

Let "f(x)" be represented by "y" ; and rewrite:

    y = 2x </span><span>− 10 ; 

Change the "y" to an "x" ;  and change to "x" to a "y" ; as follows:
___________________________________________________
    x = 2y </span><span>− 10 ; 

Now, rewrite this equation, in "slope-intercept form";  that is;  "y = mx + b" ; 

To do this, start by solving THIS equation for "y"; in terms of "x" ; with "y" as an "isolated variable" on the "left-hand side" of the equation; 
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 We have: 
___________________________________________________
   " x = 2y </span><span>− 10 " ; 

Add "10" to each side of the equation; as follows:

    x + 10 = 2y </span><span>− 10 + 10 ; 

to get:

     x + 10 = 2y ; 

</span>↔  2y = x + 10 ;
<span>
Now, divide each side of the equation by "2" ; 
       to isolate "y" on one side of the equation (as a single variable); 
       & to solve for "y" ; 

</span>→  2y / 2 = (x + 10) / 2 ; 
<span>
to get: 

</span>→    y = (x/2)  + (10/2) ; 

→    y = (x/2) + 5 ; 
<span>
Now, rewrite the equation, by substituting:  " f </span>⁻¹(x) " ;  in place of the "y" ;                     to indicate that this function is an "inverse function; as follows:
 
→   " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
______________________________________________________

The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
_______________________________________________________
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