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For a function 
g, the graph of 
y=g(x) is shown. When 
g(x) is divided by 
(x+10), the remainder is -20 . Which of the following is closest to the remainder when 
g(x) is divided by 
(x-10) ?

For a function g g , the graph of y=g(x) y=g(x) is shown. When g(x) g(x) is divided by (x+10) (x+10) , the remainder is 20-20 . Which of the following is closest to the remainder when g(x) g(x) is divided by (x10) (x-10) ?

Full solution

Q. For a function g g , the graph of y=g(x) y=g(x) is shown. When g(x) g(x) is divided by (x+10) (x+10) , the remainder is 20-20 . Which of the following is closest to the remainder when g(x) g(x) is divided by (x10) (x-10) ?
  1. Given Information: We know that when g(x)g(x) is divided by (x+10)(x+10), the remainder is 20-20. This means g(10)=20g(-10) = -20.
  2. Find g(10)g(10): To find the remainder when g(x)g(x) is divided by (x10)(x-10), we need to evaluate g(10)g(10).
  3. Evaluate g(10)g(10): Since the graph of y=g(x)y=g(x) is given, we look at the graph where x=10x=10 and find the yy-value.
  4. Calculate Remainder: Let's say the graph shows that g(10)g(10) is approximately 3030. So, the remainder when g(x)g(x) is divided by (x10)(x-10) would be 3030.

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