Answer:
Domain: {4, -9/7, -16/7}
Step-by-step explanation:
Given the function, f(x)= -7x + 13 has a range given by {-15, 22, 29):
You can get the domain values algebraically by substituting the range values into the given function.
f(x) = -15:
f(x)= -7x + 13
-15 = -7x + 13
-15 - 13 = -7x + 13 - 13
-28 = -7x
Divide both sides by -7 to solve for x:
-28/-7 = -7x/-7
4 = x
f(x) = 22:
f(x)= -7x + 13
22 = -7x + 13
22 - 13 = -7x + 13 - 13
9 = -7x
Divide both sides by -7 to solve for x:
9/-7 = -7x/-7
-9/7 = x
f(x) = 29:
f(x)= -7x + 13
29 = -7x + 13
29 - 13 = -7x + 13 - 13
16 = -7x
Divide both sides by -7 to solve for x:
16/-7 = -7x/-7
- 16/7 = x
Therefore, the domain of the function, f(x)= -7x + 13 is: {4, -9/7, -16/7}
