Respuesta :

A{2,4}. 
f(x)= x+5
y=x+5
7=x+5
x=2
---------
y=x+5
9=x+5
x=4

Answer:

Option A is correct

{2, 4} is, the function's domain.

Step-by-step explanation:

Domain is the set of all values of x for which function f(x) is defined.

Range is the set of all complete value of f.

Given the function:

[tex]f(x) = x+5[/tex]

The range of the function is {7, 9}

When f(x) = 7

then;

[tex]x+5 = 7[/tex]

Subtract 5 from both sides we have;

x = 2

When f(x) = 9

then;

[tex]x+5 =9[/tex]

Subtract 5 from both sides we have;

x = 4

⇒Domain = {2, 4}

Therefore, the function's domain is, {2, 4}