Given the function f(x) = 8(x − 4) − 18, determine the value of x such that f(x) = 22
A.3
B.6
C.9
D.12

c. 9

Step-by-step explanation:

1. The starting equation to find f(22) is 22=8(x-4)-18

2. Next, distribute(multiply) the 8 to the x and -4 which would make the equation 22=8x-32-18

3. After that, combine the like terms (-32-18) which would give us 22=8x-50

4. Now, we can also combine the 22 and the -50 but they are on different sides of the equation. So, we have to move the -50 to the left side of the equation by adding 50 to both sides which would cancel -50 on the right side, thus "moving" it to the left side which would give us 72=8x

5. Lastly, we have to isolate x right? so to get rid of the 8, you divide both sides by 8 since 8 is multiplying with x which would give us 9=x

*If you are allowed to use a graphing calculator, you can put the equation into the graph by hitting the y= button and going to the table (2nd, Graph). This makes everything 100x easier.

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