Complete the table of inputs and outputs for the given function g(x) = 3 - 8x
1 answer:
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as the input and output values are not given. However, the question can still be solved by assuming both values</em>
Given
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
In this case;
x represents the input while g(x) represents the output
Now, assume x = 2; Determine the output.
Here we simply substitute 2 for x in the above expression
i.e.
becomes
![g(2) = 3 - 8(2)](https://tex.z-dn.net/?f=g%282%29%20%3D%203%20-%208%282%29)
![g(2) = 3 - 16](https://tex.z-dn.net/?f=g%282%29%20%3D%203%20-%2016)
![g(2) = -13](https://tex.z-dn.net/?f=g%282%29%20%3D%20-13)
Similarly, if x = 5
![g(5) = 3 - 8(5)](https://tex.z-dn.net/?f=g%285%29%20%3D%203%20-%208%285%29)
![g(5) = 3 - 40](https://tex.z-dn.net/?f=g%285%29%20%3D%203%20-%2040)
![g(5) = -37](https://tex.z-dn.net/?f=g%285%29%20%3D%20-37)
Also, let's assume g(x) = -21; Determine the input
becomes
![-21 = 3 - 8x](https://tex.z-dn.net/?f=-21%20%3D%203%20-%208x)
Solve for x
![-21 - 3 = -8x](https://tex.z-dn.net/?f=-21%20-%203%20%3D%20-8x)
![-24 = -8x](https://tex.z-dn.net/?f=-24%20%3D%20-8x)
![x = \frac{-24}{-8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-24%7D%7B-8%7D)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
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