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The graph of y = h(x) is shown in red below.  Compute h(h(7)).  (Assume grid lines are spaced 1 unit apart.)

 

 Dec 24, 2023
 #1
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The slope of the line = 3    (y changes by 3 when x changes by 1)

 

The point (1,2) is on the line

 

The equation of the line  (except at x = 2) is     

 

y = 3 ( x -1) + 2

 

y = 3x - 1 =   f(x)

 

When x = 7      y = 20

 

So    f(7)  = 20

 

And  f (f(7)) =  f(20)

 

When x =20 , y =  59

 

So

 

f (f(7)) = f(20)  = 59

 

cool cool cool

 Dec 24, 2023

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