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Quick

5

Step-by-step explanation:

First figure out the equation:

We know this is a linear equation because it appears to have a constant slope

Its y-intercept is where it passes in the y-axis, so it's -8

Furthermore, you should also figure out the slope. Notice that the y value increments by 3 every 1 x-value. Rise/Run is 3/1 = 3. Thus, the slope is 3

So your equation is g(x) = 3x - 8

Now we find our inverse function, which is just swapping the x-y values.

Thus, inverse of g(x) ==>  y = 3x - 8 ==> x = 3y - 8 ==>  x+8 = 3y ==>

Plug in 7 for x and you get 5

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