Final answer:
To solve for the value of x where f(x) = -22 for the function f(x) = -2x + 9, we set up the equation -2x + 9 = -22, subtract 9 from both sides, and then divide by -2, resulting in x = 15.5.
Step-by-step explanation:
To find the value of x that makes f(x) = -2x + 9 equal to -22, we need to set the function equal to -22 and solve for x.
-2x + 9 = -22
First, subtract 9 from both sides:
-2x = -22 - 9
-2x = -31
Next, divide both sides by -2 to solve for x:
x = 31 / 2
x = 15.5
The value of x that makes f(x) equal to -22 is 15.5.